anonymous
  • anonymous
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 500-2q. [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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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dumbcow
  • dumbcow
revenue = price*quantity p = 500-2q revenue-> R(q) = 500q -2q^2 profit = revenue -cost P(q) = R(q) -C(q) = (500q-2q^2)-(300q+2000) P(q) = -2q^2 +200q -2000
anonymous
  • anonymous
thanks very much dumbcow.
dumbcow
  • dumbcow
yw about maximizing, find vertex of the parabola formed by P(q)

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anonymous
  • anonymous
ok.....
dumbcow
  • dumbcow
x = -b/2a max_q = -200/-4 = 50 plug that in to get max_profit
anonymous
  • anonymous
am getting it
anonymous
  • anonymous
pls dumbcow, how did u get the R[q]=500q-2q^2
dumbcow
  • dumbcow
oh sorry i multiplied p*q (500-2q)*q
anonymous
  • anonymous
ok...thanks

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