23lopezjimenezl
27.02.2020 •
Mathematics
A CD company has been selling 1200 computer game CDs per week at 18$ each. Data indicates that for each 1$ price increase, there will be a loss of 40 sales per week. If it costs 10$ to produce each CD, what should the selling price be in order to maximize the profit?
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Ответ:
$29
Step-by-step explanation:
When selling at $18, profit is $8
Profut = (8 + x)(1200 - 40x)
= 9600 + 1200x - 320x - 40x²
= -40x² + 880x + 9600
= -40[x² - 2(x)(11) + 11² - 11²] + 9600
= -40(x - 11)² + 40(11)² + 9600
= -40(x - 11) + 14440
Max revenue hence max when x = 11
Selling price = 18+11 = $29
Ответ:
bear in mind that, arcs get their angle measurement, from the central angle they're in.