A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 2 years ago

Please help? A local bakery sells pies and cakes. Each pie takes 20 minutes to prepare and 45 minutes to cook. Each cake takes 30 minutes to cook and a total of 40 minutes to mix and decorate. In a given day, the bakery has 16 hours of employee time available for food preparation and 3 ovens available for 8 hours each. The bakery makes a profit of $5.50 on each pie and $6.00 on each cake. a. Let x = the number of pies and y = the number of cakes the bakery makes in a given day. Translate the constraints into a system of linear inequalities.

  • This Question is Closed
  1. matricked
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Max z=5.5x +6y subject to x>=0 and y>=0 45x+30y<=8*3*60 and 20x+40y<=16*60

  2. pathosdebater
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    There are three equations which need to be shown. One for the time to cook, one for the employee time, and one for the profit. 1. 45x + 30y < 1440 The total available time to cook is 1440 min. Total time < 1440 The time to cook each pie is 45 min. Total pie time is 45x The time to cook each cake is 30 min. Total cake time is 30y Thus total bake time is 45x + 30y which must be less than 1440; hence the answer. 2. 20x + 40y < 960 Preparation time is limited by employee time, which is 960 min. Cake preparation time is 40 min, y is the number of cakes, hence total cake time is 40y Pie preparation time is 20 min, x is the number of pies, hence total pie time is 20x 3. 5.50x + 6.00y = max The objective function is your profit You make 5.50 on each pie, so your total profit on pies is 5.50x You make 6.00 on each cake, so your total profit on cakes is 6.00y

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.