The monthly profit for a small company that makes long-sleeve t-shirts depends on the price per shirt. if the price is too high,
sales will drop. if the price is too low, the revenue brought in may not cover the cost to produce the shirts. after months of data
collection, the sales team determines that the monthly profit is approximated by f(p) = -50p + 1800p - 16,000, where p is the
price per shirt and f(p) is the monthly profit based on that price.
(a) find the price that generates the maximum profit.
(b) find the maximum profit.
(c) find the price(s) that would enable the company to break even. if there is more than one price, use the "and" button.
solve all 3 parts.

A. $18

B. $200

C.

Step-by-step explanation:

Function:

Parts A and B:

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

The price that generates the maximum profit is $18

The maximum profit is $200

Part C:

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all , so the positive profit is for

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6