Question

It costs $1900 to manufacture 60 items, and the fixed costs are $700. If x represents the number of items manufactured and y the cost, write the cost function.

Answer 1

Answer:

y = 700 + (1900/60)x

[or y = 700 + (95/3)x if you simplified]

Explanation:

Since the fixed cost is 700 dollars, any additional cost will be added to that.

Hence, 700 + in the equation.

The amount added to the 700 is (1900/60)x because per 60 items you spend $1900. So, for 1 item you spend (1900/60) [or (95/3) if you prefer to simplify as much as possible]. Thus, the cost of manufacturing multiple items is $(1900/60)x.

So, your final equation should read:

y = 700 + (1900/60)x

[or y = 700 + (95/3)x if you simplified]