A manufacturer sells lamps at six dollars each and sells 3000 each month. For each one dollar that the price is increased, 1000 fewer lamps are sold each month. It costs 4 dollars to make one lamp. What price should lamps be sold at to maximize profit

Price it will be sold to make maximum profit = $6.5 each

Explanation:

The challenge is to maximize profit.

We can assign to be the number of dollars obtained per unit price per flashlight.

Recall:

Profit = Revenue - Cost

Revenue = price charged x number sold =

Cost = cost to produce a unit x number of units produced

Profit =

At the point of maximum profit, the change in profit with respect to price will be = 0. In mathematical terms, the derivative of the profit will be = zero

∴

from this, we can see that at maximum profit, x = 0.5

∴ Price it will be sold to make maximum profit = $6.00 + 0.5 = $6.5 each

answer: e

explanation:

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.