Your boss has asked you to come up with a price model for one of the cell phone

Question

Your boss has asked you to come up with a price model for one of the cell phone models that your company produces. In the model, costs and length of service are directly related. You are also asked to examine the profit formula based on selling a certain number of the phones to determine profitability based on how many are sold.

1.Suppose a cell phone service costs $45 per month, along with a $60 activation fee.
a.Write a cost equation that relates the number of months of service and the total cost for that time of service. (Hint: Let t = the number of months of service and c = the total cost.)
b.Use the cost equation to determine the number of months of service for a cost of $1,185.
2.Your company has determined that the profit equation (in thousands of dollars) of producing x thousand smartphones is as follows:

Profit = –x2 + 110x – 1,000

(If the number of smartphones is 40,000, for example, then x = 40). The break-even point is the number of smartphones sold and produced that would result in a profit of zero.
Use your preferred method for solving the quadratic equation to determine the break-even point.

Explanation / Answer

a. 60+ 45t=c

b. 60+ 45t= (1185)

45t= 1185-60
t=(1125/45)

t=25


2. since it is set to zero, I can change all the signs and make it equal:

(x2-110x+1000)=0

then i can set it up to look like

(x±__)(x±__)=0

what numbers, add up to be -110, and multiply to be 1000???

-100+-10 = -110, AND -100x-10=+1000 !!!! yeyyy so i plug them in!--->

(x-100)(x-10)=0

so if x = 100, or if x= 10; profits equal zero

this is because is i plus in 100 to both x's, the first half becomes zero

(0)(90)=0

same thing for 10 for the second half.

Thanks! please rate lifesaver

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