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anonymous
 5 years ago
Can someone help me with a five part word problem? I think it is probably easier than I am making it......
anonymous
 5 years ago
Can someone help me with a five part word problem? I think it is probably easier than I am making it......

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Congratulations! You have just been hired as a manager of Todaro’s, a small business that makes frozen pizzas to sell at local markets. The owner gave you the following information: o Preparation and packaging takes 0.2 hours for each box of 12inch pizzas and 0.25 hours for each box of 16inch pizzas. o You can pay the staff for no more than 240 hours of labor each week. o The staff must meet the company quota of producing at least 1,000 boxes of pizza per week. o Todaro’s will make a profit of $2 for each box of 12inch pizzas and $4 for each box of 16inch pizzas. How many pizzas of each size must be produced in order to maximize the profit? (15 pts.) Let x represent the number of 12inch pizzas made and let y represent the number of 16inch pizzas made.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0SO that's the info they give you

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0a) Write an inequality for each constraint. (Hint: There are 4.)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i don't want to be manager!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so I think a is asking for me to basically write an equation for each of the above bullet points right...?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait, i think we have to see first that we can only have 240 hours of work total yes?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which means .02x+0.25y < 240

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0because you have to make at least 1000 pies

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so those are two of the inequalities...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats cause of the Todaro’s will make a profit of $2 for each box of 12inch pizzas and $4 for each box of 16inch pizzas. How many pizzas of each size must be produced in order to maximize the profit right

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes. but i am still trying to find 4 inequalities, because so far i see only two.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ya cause that's not an inequality.... hmmmm

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no that is what you are trying to maximize subject to the constraints.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i must me missing something. what other constraints are there?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well what I put on here is all that they give me.... unless some how you use the first bullet to relate to the amount of boxes or something?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i am still looking, but i don't see another.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i take it this is one of those 'linear programming' problems. you graph the inequalities and then look at the corners or something like that yes?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0me either... maybe I wasn't completely crazy after all lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Uhm sure I can show you the other parts of it, like the other questions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0b. Graph the feasible region that represents the constraints in (a). (Note, you must submit a graph to earn full credit.) c. Locate and label the vertices for the feasible region. d. Write the objective function. e. Find the number of each type of pizza made that will maximize Todaro’s profit.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you are in quadrant I

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right cause they are both positive numbers

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so those are my other 2 ineqaulities?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0got it. now we have 4 inequalities. i forgot about the last two trivial ones. ok good. so we graph the region. you are in quadrant I when you graph.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right x>0 y>0 x+y>1000 .02x + .25y < 240

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the last one could be written as 2x + 25y < 24000 if it makes it easier

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok got em' now to graph I use .02x + .25y < 240 riht but I have to solve for x and y?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and of course all my inequalities are actually \[\leq\] and \[\geq\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[x+y\geq 1000\] graph the line which has slope 1 and crosses through (0,1000) and (1000,0) shade to the right and up

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok give me on sec to graph it please

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok is there a way I could have you check my graph?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let me know when you have graphed it. it should cross the x axis at (1000,0) and the yaxis at (0,1000)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there is my picture of x + y = 1000

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so I have mine right cool beans

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Locate and label the vertices for the feasible region that's the x axis at (1000,0) and the yaxis at (0,1000) right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now graph the other one. crosses y axis at (0,960) and the x axis at (1200,0)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you have to graph them both. here is my picture of both of them graphed together.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok one sec let me graph mine again lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now shade the regions. should be to the right and up for x + y = 1000 and down to the left of 20x+25y=24000

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so it leaves the little part in between them blank right

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right, but we are only concerned with the region that is shaded twice, because both of these inequalities must be satisfied

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok and thats the tiny little part

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0little triangle on bottom right with vertices (1000,), (12000,0) and something in the middle which we have yet to find. this is our main work now is to find where these lines intersect.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i meant (1000,0) and (12000,0) and (a,b) that we have to solve for. so now we want to know where these lines intersect.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok and that is what Locate and label the vertices for the feasible region means?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i am not sure what method you are to use, but here is an easy one: \[x+y=1000\] solve for x \[y=1000x\] \[20x+25y=24000\] replace y by 1000x \[20x+25(1000x)=24000\] \[20x+2500025x=24000\] \[5x+25000=24000\] \[5x=1000\] \[x=200\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so the vertices are (1000,0), (12000,0) and (200,800) since if x = 200, y = 800

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and to find y all you did was plug x back into the original equation right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes either one, but easiest to say since x + y = 1000 then 200 + y = 1000 so y = 800

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can almost see it on the graph.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok ya that's what I meant

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now it asks... Write the objective function?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that was the thing we are trying to maximize.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i have to go back and see. 2x + 4y = P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh so that's what the objective function is because your objective is to find the profit? Just want to make sure I'm understanding it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and now you have to check the corners of your region to see which gives the biggest. \[p=2\times 200+4\times 800=400+3200=3600\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes you are trying to maximize your profit, so you have to see which is biggest.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you have to check x = 200, y = 800 and x = 1000, y = 0 and x = 12000, y = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if i remember correctly you have to check the corners of your region

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i will be willing to bet without checking that it will turn out to be (200, 800) that gives you the most.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if so you owe me a pizza, or a job. you can manage the shop, i will deliver the pies.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok so when it says to write the objective function do I put 2x + 4y = P or 2(200)+4(800)=3600

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the objective function is P=2x+4y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alright cause it's ust asking for the formula/equation I got it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but then you have to answer How many pizzas of each size must be produced in order to maximize the profit.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0to do this you have to check which values of x and y make P=2x+4y the biggest

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohhhh ok makes perfect sense ha ha want a promotion.... how about manager!?! lol jk thank you thank you thank you now I can use this to help me with my other problems! How do you add as a fan on here?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but you only have to check the corners of your region. you check P=2x+4y for the corners.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0don't know. i guess it is a button to click. i

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0hope the process is clear. graph the lines, graph the region, check the corners. to complete it you also have to check \[P=2\times 1000+4\times 0\] and \[P=2\times 12000 + 4 \times 0\] and \[P=2\times 200 + 4\times 800\] the last one is the biggest

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait.. and x = 12000, y = 0 wouldn't that make it the biggest?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes but it was a typo. it is \[2\times 1200\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the xintercept is (1200,0) not (12000,0) i typed it wrong

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh i gotcha :) and yes I wrote notes down on how we found everything so I think I understand it pretty well know thank you so very much!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0welcome. now i go back to work!
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