Question 1

Solve the problem.
-Northwest Molded molds plastic handles which cost $ 1.00 per handle to mold. The fixed cost to run the molding machine is  per week. If the company sells the handles for $ 4.00 each, how many handles must be molded weekly to break even (zero profit)?

Accepted Answer

The answer of Solve the problem.
-Northwest Molded molds plastic handles...

Question 2

Solve the problem.
-Midtown Delivery Service delivers packages which cost  per package to deliver. The fixed cost to run the delivery truck is  per day. If the company charges  per package, how many packages must be delivered daily to break even (zero profit)?

Accepted Answer

The answer of Solve the problem.
-Midtown Delivery Service delivers packages...

Question 3

Solve the problem.
-A lumber yard has fixed costs of $ 7240.90 a day and variable costs of $ 1.00 per board-foot produced. The company gets $ 2.90 per board-foot sold. How many board-feet must be produced daily to breakeven (zero profit)?

Accepted Answer

To break even, total costs must equal total revenue. Fixed costs are $7240.90, and variable costs are $1.00 per board-foot. Revenue is $2.90 per board-foot. Set up the equation: $7240.90 + $1.00x = $2.90x. Solving for x gives x = 3811 board-feet.

Question 4

Solve the problem.
-A construction company buys a truck for $ 36,000. The truck is expected to last 15 years, at which time it will be worth $ 4500. Write a function v(x) that describes the value of the truck at any time during its lifetime. Be sure to state the domain of the function.

Accepted Answer

The truck depreciates from $36,000 to $4,500 over 15 years, which is a total depreciation of $31,500. Dividing this by 15 years gives a depreciation rate of $2,100 per year. Thus, the value function is $v(x) = 36,000 - 2100t$, with the domain being the lifespan of the truck, $0 \le t \le 15$.

Question 5

Find a formula for the function graphed.
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Accepted Answer