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anonymous
 4 years ago
A refrigerator manufacturer can sell all the refrigerators of a particular type that he can produce. The total cost of producing 'q' refrigerators per week is given by 300q+2000.the demand function is estimated as 5002q.
[a] Derive the revenue function.
[b] Obtain the total profit function.
[c] How many units per week should be produced in order to maximize profit?
[d] What is the maximum profit available.
anonymous
 4 years ago
A refrigerator manufacturer can sell all the refrigerators of a particular type that he can produce. The total cost of producing 'q' refrigerators per week is given by 300q+2000.the demand function is estimated as 5002q. [a] Derive the revenue function. [b] Obtain the total profit function. [c] How many units per week should be produced in order to maximize profit? [d] What is the maximum profit available.

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dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1revenue = price*quantity p = 5002q revenue> R(q) = 500q 2q^2 profit = revenue cost P(q) = R(q) C(q) = (500q2q^2)(300q+2000) P(q) = 2q^2 +200q 2000

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thanks very much dumbcow.

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1yw about maximizing, find vertex of the parabola formed by P(q)

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1x = b/2a max_q = 200/4 = 50 plug that in to get max_profit

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0pls dumbcow, how did u get the R[q]=500q2q^2

dumbcow
 4 years ago
Best ResponseYou've already chosen the best response.1oh sorry i multiplied p*q (5002q)*q
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