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In: Advanced Math

A company manufactures and sells scientific calculators. The function P=7.87.8x2plus+59705970xminus−290 comma 000290,000​, x≤​150, gives the profit...

A company manufactures and sells scientific calculators. The function P=7.87.8x2plus+59705970xminus−290 comma 000290,000​, x≤​150, gives the profit if x thousand calculators are manufactured and sold. Use the table feature of a graphing calculator or use a spreadsheet to make a table of values for the profit function with x=​0, 5, 10,​ ..., 150. Use the table to answer the following question.

Approximately how many calculators must be sold in order for the company to make a​ profit?

Solutions

Expert Solution

x in 1000's Profit
0        -2,90,000
5        -2,59,955
10        -2,29,520
15        -1,98,695
20        -1,67,480
25        -1,35,875
30        -1,03,880
35            -71,495
40            -38,720
45              -5,555
50              28,000
55              61,945
60              96,280
65          1,31,005
70          1,66,120
75          2,01,625
80          2,37,520
85          2,73,805
90          3,10,480
95          3,47,545
100          3,85,000
105          4,22,845
110          4,61,080
115          4,99,705
120          5,38,720
125          5,78,125
130          6,17,920
135          6,58,105
140          6,98,680
145          7,39,645
150          7,81,000

For X=45.832, Profit(P)=0

So the company has to manufacture and sell minimum of 45,832 calculators to make profit.

Colby Messinger answered 1 year ago
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