A tire manufacturer estimates total production costs to be 2

A tire manufacturer estimates total production costs to be $289,000 + $56 per tire made. The company market analysis expert has predicted sales volume based on the price of the tire as shown in the table below. Assuming that production is limited to the options shown in the table, what is the company\'s maximum monthly profit? Express your answer in $ to the nearest $1,000.

Tire Cost $                 Sales per Month
$90                                100,000
$100                                95,000
$110                                 80,000
$120                                 65,000
$130                                 45,000

Solution

COMPANY\'S MONTHLY PROFIT IS MAXIMUM WHEN TIRE PRICE=$110 ANS SALES ARE 80000, company\'s maximum monthly profit is 4031000

TIRE PRICE $ SALES PER MONTH FIXED COST VARIABLE COST($ 56 PER TIRE) TOTAL COST= FC+VC TOTAL REVENUE=PRICE*SALES TOTAL PROFIT=TOTAL REVENUE-TOTAL COST
90 100000 289000 5600000 5889000 9000000 3111000
100 95000 289000 5320000 5609000 9500000 3891000
110 80000 289000 4480000 4769000 8800000 4031000
120 65000 289000 3640000 3929000 7800000 3871000
130 45000 289000 2520000 2809000 5850000 3041000
A tire manufacturer estimates total production costs to be $289,000 + $56 per tire made. The company market analysis expert has predicted sales volume based on

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