1)Donut Delights, Inc. has determined that when x donuts are made daily, the profit P is given by

P(x)=-0.002x^{2}+4.3x-130

a) How is the company's profit if 700 donuts are mad daily?

Plug x=700 into the P(x) equation

P(700) = -0.002(700^{2}) + 4.3(700) - 130

b) How many donuts should be made daily in order to maximize the company's profit show work.

The equation for P is a quadratic equation, so its graph is a parabola. Since the coefficient of the x^{2} term is negative (-0.002), it's an upside down parabola with the vertex at the top. The vertex, then, will be the maximum value for P(x). The x coordinate of the vertex is (-b/2a) where a=(-0.002) and b=4.3. Plug that value of x into the P(x) equation to get the maximum profit.

2) A salesperson earns a base salary of $2,100 per month and a commission of 5.8% on the amount of sales made. If the sales person has a paycheck of $3,764.60 for one month. What was the amount of sales for the month? show work.

Let x = the amount of sales per month (in $$)

Let y = the Salesperson's salary for the month

y = (0.058)x + 2100 [If x=0, y=2100, the base salary. 0.058 is the decimal equivalent of 5.8%]

To find the amount of sales in the month, plug in the value of the salesperson's salary for the month:

3764.60 = (0.058)x + 2100

Solve for x.