Question

Porfa ayudaaaaaaaaaa​

Answer 1

Explicación paso a paso:

P(x) = 0.5 x^2 + 40x - 300

to find the amount that maximizes profit you must make the first derivation:

P'(x) = x - 40

then you equal 0 and you get the amount you are looking for.

P'(x) = 0 ----> x - 40 = 0

x = 40

you replace x in the first equation:

P(x) = 0.5 * 40^2 + 40*40 - 300

P(40) = 800 + 1600 - 300

P(40) = 2100

So if the profit is 2100 and 40 items are produced

then each item has a value of:

52.5

the maximum profit is given with the following relation:

Pmáx = 52.5*X