Question
CASE 3 : The quantity demanded per month for your companys new HDTV set in the first two years of its introduction in the market
CASE 3: The quantity demanded per month for your companys new HDTV set in the first two years of its introduction in the market is forecasted as -0.25p, where p is the selling price in dollars. You wish to find the price that will maximize your profit, if the variable cost per unit is $500, and the fixed cost is $1,000,000.
Answer questions 19-23 based on the above.
The revenue function is
0.25p2 + 2500p
0.25p2 2500p
500p
0.25p2 + 2500p + 500
The Profit function is
0.25p2 + 2625p
0.25p2 + 2375p 2,250,000
0.25p2 + 2500p + 1,000,500
0.25p2 + 2625p 2,250,000
0.25p2 2625p 2,250,000
The price that maximizes the profit is equal to
$4,750
$5,000
$5,250
$6,000
$6,500
The maximum possible profit per month is
$4,640,625
$3,384,375
$8,740,625
$9,140,625
The demand per month at the price that maximizes profit (rounded up to nearest integer) is
701
714
980
1188
________________________________________________________ I don't understand how to solve this kind of problem
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