It costs 6 dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars each, the number sold, n, is given by n equals StartFraction 5 Over x minus 6 EndFraction plus 5 (100 minus x ). Find the selling price that will maximize profit.

$53

Step-by-step explanation:

Let 'x' be the selling price. The revenue is given by 'xn' while the production cost is given by '6n' therefore, the profit function is:

The price 'x' for which the derivate of the profit function is zero is the price that maximizes profit:

The selling price that will maximize profit is $53.

practice. practice. practice.

0

step-by-step explanation:

equals the constant of proportionality.

solve for