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A television manufacturer produces 600 units of a certain model each m [#permalink]

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21 Dec 2015, 20:53

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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 television manufacturer produces 600 units of a certain model each m [#permalink]

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20 Aug 2017, 07:05

RSOHAL 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

TR - TC = total profit TR = (sell price per item) * (# of items) TC = (cost price per item) * (# of items)

Re: A television manufacturer produces 600 units of a certain model each m [#permalink]

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23 Aug 2017, 23:59

my approach since we already know cost per unit that is 90$/unit and we also successfully sells all unit every month and we need total 42000$ profit so simply divide 42000/600=420/6=70 now 90+70=160 will be selling price Option D

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

We can let p = the minimum selling price per unit and create the following equation:

600p - 600(90) ≥ 42,000

600p - 54,000 ≥ 42,000

600p ≥ 96,000

p ≥ 160

Answer: D
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