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xthatshepoxy
15.07.2019 •
Mathematics
Acompany sells desks for $155 each. to produce a batch of x desks, there is a cost of $83 per desk and a fixed or setup cost of $9,300 for the entire batch. determine a function that gives the profit in terms of the number of desks produced. what is the least number of desks the company can sell in order to have a profit of $11,000?
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Ответ:
R = 155d
and the costs (C) is
C = 9300 +83d
The profit (P) is the difference between revenue and cost.
P = R - C
P = 155d -(9300 +83d)
P = 72d -9300
We want the profit to be a minimum of 11,000, so we have
11000 ≤ 72d - 9300
20300 ≤ 72d
281 17/18 ≤ d
The company must sell at least 282 desks to have a profit of $11,000.
Ответ: