What price should the company charge for pencils

Reference no: EM13188067

An office supply company sells x mechanical pencils per year at $p per pencil. The demand equation for these pencils is p=10-0.001x. The total annual cost of manufacturing x mechanical pencils is C(x)=5000+2x. What price should the company charge for pencils to maximize profit? What is the maximum profit and how pencils should be produced?

Reference no: EM13188067

Questions Cloud

Find the solubility of nitrogen gas : A mixture of gases contains 7.5g hydrogen and 29.6 nitrogen with a total pressure of 127 torr. Calculate the solubility of nitrogen gas

Compute the actual yield of magnesium nitrate formed : calculate the actual yield of magnesium nitrate formed from 113.9 g of magnesium and excess copper(II) nitrate.

State molecular level that causes the reaction to shift : When heat is added to a solution of CoCl2 and HCl in water, what happens on the molecular level that causes the reaction to shift?

What is the effective rate : A company will have to spend $300,000 on new plant in 4 years from now. Currently investment rates are at a nominal 10% p.a.

What price should the company charge for pencils : An office supply company sells x mechanical pencils per year at $p per pencil. The demand equation for these pencils is p=10-0.001x. The total annual cost of manufacturing x mechanical pencils is C(x)=5000+2x.

Will the industry expand or contract in the long run : assuming product price is $32. With $32 in place of $56, its costs us $52.50 and we sell it for $30. This does not produce in the short run. The loss-minimizing outcome would be a loss of $22.50. The economic loss would be if you take the loss of ..

How many bacteria will there be after 3 hours : A bacteria population starts with 400 and grows at a rate of r(t)=(450.268)e^(1.12567t)bacteria per hour. How many bacteria will there be after 3 hours ?

State the plots of the boiling point : From the plots of the boiling point versus the volume of distillate in the simple distillation experiments, what can you conclude

What must be true about the radicand : When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index? If the problem does not meet this criteria, what must be done?

User Account

All Pages