Find the max of the profit function

Reference no: EM13195325

A manufacturer has been selling flashlights at $6 apiece, and at this price, consumers have been buying 3,000/month. The manufacturer wishes to increase the price & estimates that for every $1 he raises the price, 1,000 fewer flashlights will be sold each month. The manufacturer can produce the flashlights for $4 apiece. At what price should the manufacturer sell the flashlights to generate the greatest possible profit? Let x be the price increase (in dollars), find the max of the profit function.

Reference no: EM13195325

Questions Cloud

What is the angle of elevation to the top of the tree : Child lies on the the ground and looks up at the top of a 17 foot tall tree nearby. Child is 14 feet away from the tree what is the angle of elevation to the top of the tree?

What should the numbers of beat be : A woman with a resting heart rate of 85 beats per minuteshould keep her heart rate between 139 and 157 beats per minute while excersising. She checks her pulse for 10 seconds while exercising. What should the numbers of beat be?

Compute the vapor pressure of a solution of benzene : Calculate the vapor pressure of a solution of 20 g of benzene (C6H6) and 20 g of toluene (C7H8) at 90 oC

How much money will be in the account after the two years : After the five years further R20 000 is deposited into the same account.assuming that the interest remains the same for another two years.how much money will be in the account after the two years, when the other deposit was made?

Find the max of the profit function : A manufacturer has been selling flashlights at $6 apiece, and at this price, consumers have been buying 3,000/month. The manufacturer wishes to increase the price & estimates that for every $1 he raises the price, 1,000 fewer flashlights will be s..

Find the volume of the resulting solid : A ball of radius 17 has a round hole of radius 6 drilled through its center. Find the volume of the resulting solid.

How much does the boat weight : A force of 623 lb is required to pull a boat up a ramp inclined at 22.0 degrees with the horizontal. How much does the boat weight?

State what is the molecular formula for the compound : At 131 celsius and 769 mmHg, 2.00 L of the gaseous compound weighs 4.44 g. What is the molecular formula for the compound?

Find the slant height to the nearest tenth : The lateral area of a cone is 558 cm. The radius is 31 cm. Find the slant height to the nearest tenth.

User Account

All Pages