A company that manufactures cell phones has been given a quarterly operating budget of $1,176,912.42. The company's quarterly operating cost consists of two costs: an overhead fixed cost and the manufacturing cost of each cell phone. The company knows that the overhead fixed cost per quarter is $247,638.00, and the cost to manufacture each cell phone is $55.14. If the company's quarterly operating costs cannot exceed the quarterly budget, then what is the maximum number of cell phones that they can manufacture during the quarter?

maximum is 16,853 cell phones

≤  18.853

Step-by-step explanation:

1,176,912.42.   per quarter budget

247,638.00    per quarter fixed cost

We subtract then divide the amount cost of phones and ensure its less or rounded down.

1,176,912.42 -247,638 = 929274.42

929274.42 / 55.14 = 16853

16,852 < m ≤ 16,853

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3