The average cost per item in dollars to make x video games is given by M = 5x+2,000,000/x and the average cost per item in dollars to package the same video game is given by P = 2x+500,000/x

Question

Write an equation C that gives the total cost per item of making and packaging x video games.

C = blank (Simplify your answer. Write an equation)

Answer 1

There may be an ambiguity in interpreting the equations. Two solutions are provided:

1) If M=5x+(2000000/x), P=2x+(500000/x).

Total cost C_T=M+P=7x+2500000/x. This is the cost in dollars of x games (making and packing).

The unit cost C in dollars is (7x+2500000/x)/x=7+2500000/x² per game, including packing.

2) If M=(5x+2000000)/x and P=(2x+500000)/x, then cost in dollars of x games=(7x+2500000)/x.

The unit cost C=(7x+2500000)/x²=7/x+2500000/x².

However, if the given info is unit cost then M=5+2000000/x and P=2+500000/x. The combined unit cost would be C=7+2500000/x.