Question 1123631
The function C(x) = 119x +750 represents the cost of producing x three-pronged stainless steel widgets. R(x) =169x represents the revenue from selling x of them. Find the following:
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a. Number that must be sold to break even
This occurs when R(x) + C(x), therefore
169x = 119x + 750
169x - 119x = 750
50x = 750
x = 750/50
x = 15 widgets to break even
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b. Profit from selling 500
Profit is revenue - costs:
P(x) = 169x - (119x+750)
x = 500
P(x) = 169(500) - (119(500) + 750)
P(x) = 84500 - 59500 - 750
P(x) = $24,250 is the profit from selling 500
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c. Profit or loss from selling 200 at the regular price and 300 at half price.
Regular price is $169 per unit, half price: $84.50
find the revenue from 200 units at regular price: 200*169 = $33,800
find revenue from 300 units sold at half price: 300*84.50 = $25,350
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find the  total revenue selling 500 units at these prices: $59,150
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Find the total cost of making these 500 units: 500(119)+750=$60,250
59,150 - 60250 = -$1100 loss
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This is the method, check my math.