0/3 points 1 Previous Answers SApCalcBr1 4.7017, 1/6 Submissions Used Moy Notes

Question

0/3 points 1 Previous Answers SApCalcBr1 4.7017, 1/6 Submissions Used Moy Notes Ask Your Teacher A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per week. Round your answers to the nearest dollar (a) Find the demand function (price as a function of units sold). p(x)- (b) How large a rebate should the company offer the buyer in order to maximize its revenue? (c) I the company experiences a cost of C(x)-79,000 110x, how should the manufacturer set the size of the rebate in order to maximize its profit? Need Help? ?-Read"|Talk te anteri

Explanation / Answer

1.
Revenue = (1000 + 100*x)*(450 - 10x)

R' = -1000*(2x - 35)
0 = -1000*(2x - 35)
x = 35/2 = 17.5 <<<MAYBE ANSWER

^^^But they can't offer that rebate, they have to be in increments of 10.

f(10) = 700,000
f(20) = 750,000 20 <<< LIKELY ANSWER

So the rebate would be either 175 or 200 < ANSWERS

R(x) = (1000 + 100*x)*(450 - 10x) - (79,000 + 100x)
R'(x) = 34,900 - 2000x
0 = 34,900 - 2000x
x = 34,900 / 2000 = 17.45 <<< Possible answer

x = 20 < LIKELY ANSWER

So the rebate will either be 200 or 174.50 <ANSWERS

PLEASE RATE.

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