A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000?
A$110
B$120
C$140
D$160
E$180
OA D
Source: Official Guide
A television manufacturer produces 600 units of a certain
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We can let p = the selling price per unit and create the following equation:BTGmoderatorDC wrote:A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000?
A$110
B$120
C$140
D$160
E$180
OA D
Source: Official Guide
600p - 600(90) ≥ 42,000
600p - 54,000 ≥ 42,000
600p ≥ 96,000
p ≥ 160
Since p ≥ 160, we see that the minimum selling price must be $160.
Answer: D
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