A company that manufactures compact discs has fixed monthly overhead costs of $\$ 60,000$. Each disc costs $\$ 0.18$ to produce and sells for $\$ 0.30$.

b. Write the revenue function, $R$, from the sale of $x$ discs per month.

The handwritten signs indicate that a piece of pie costs $.10\cancel{c}$ and a cup of coffee costs $.5\cancel{c}$. Assuming these are the actual prices, how many cups of coffee can you get for $\$ 1.00$?

The handwritten signs indicate that a piece of pie costs $.10\cancel{c}$ and a cup of coffee costs $.5\cancel{c}$. Assuming these are the actual prices, how many pieces of pie can you get for $\$ 1.00$?

Find expressions for the revenue, cost, and profit from selling x thousand items.

$$\begin{array}{lll} \text{Item Price} & \text{Fixed Costs} & \text{Variable Costs}\\ \$8.50 & \$225,000 & 4200x \end{array}$$

You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs, and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of$2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of$0.20 per year in energy costs. Your home has 60 light fittings and 1,100 sq. ft. of uninsulated exterior wall. You can spend no more than $1,200 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? How much will you save in energy costs per year?

Suppose that you and your roommate have started a bagel delivery service on campus. List some of your fixed costs and describe why they are fixed. List some of your variable costs and describe why they are variable.

Porter Corporation has fixed costs of $\$ 660,000$, variable costs of $\$ 24$ per unit, and a contribution margin ratio of 40 percent.

Compute the following:

a. Unit sales price and unit contribution margin for the above product.

Find the final price paid. Additional memory for your computer sells for $109.99 with a$10.00 mail-in rebate. What is the final price after the rebate if an envelope costs $0.35 and a "forever" postage stamp costs$0.41?

The force exerted on a car by a prototype crash barrier as the barrier crushes is $F=-\left(120 s+40 s^3\right) \mathrm{lb}$, where $s$ is the distance in feet from the initial contact. The effective length of the barrier is $18 \mathrm{ft}$. How fast can a 5000-lb car be moving and be brought to rest within the effective length of the barrier?

Blanchard Company manufactures a single product that sells for $180 per unit and whose total variable costs are$135 per unit. The company’s annual fixed costs are $562,500. Management targets an annual pretax income of$1,012,500. Assume that fixed costs remain at $562,500. Compute the (1) unit sales to earn the target income and (2) dollar sales to earn the target income.

Based on the following table, which shows crashworthiness ratings for several categories of motor vehicles. In all of these exercises, take X as the crash-test rating of a small car, Y as the crash-test rating for a small SUV, and so on, as shown in the table.

$$\begin{matrix} & \text{} & \text{} & \text{Overall Frontal Crash Test Rating}\\ & \text{Number Tested} & \text{3 (Good)} & \text{2 (Acceptable)} & \text{1 (Marginal)} & \text{0 (Poor)}\\ \text{Small Cars X} & \text{16} & \text{1} & \text{11} & \text{2} & \text{2}\\ \text{Small SUVs Y} & \text{10} & \text{1} & \text{4} & \text{4} & \text{1}\\ \text{Medium SUVs Z} & \text{15} & \text{3} & \text{5} & \text{3} & \text{4}\\ \text{Passenger Vans U} & \text{13} & \text{3} & \text{0} & \text{3} & \text{7}\\ \text{Midsize Cars V} & \text{15} & \text{3} & \text{5} & \text{0} & \text{7}\\ \text{Large Cars W} & \text{19} & \text{9} & \text{5} & \text{3} & \text{2}\\ \end{matrix}$$

You choose, at random, a small car and a small SUV. What is the probability that both will be rated at least 2?

Based on the following table, which shows crashworthiness ratings for several categories of motor vehicles. In all of these exercises, take X as the crash-test rating of a small car, Y as the crash-test rating for a small SUV, and so on as shown in the table.

$$\begin{matrix} & \text{} & \text {} & \text{Overall Frontal Crash-Test Rating}\\ & \text{Number Tested} & \text{3 (Good)} & \text{2 (Acceptable)} & \text{1 (Marginal)} & \text{0 (Poor)}\\ \text{Small Cars X} & \text{16} & \text{1} & \text{11} & \text{2} & \text{2}\\ \text{Small SUVs Y} & \text{10} & \text{1} & \text{4} & \text{4} & \text{1}\\ \text{Medium SUVs Z} & \text{15} & \text{3} & \text{5} & \text{3} & \text{4}\\ \text{Passenger Vans U} & \text{13} & \text{3} & \text{0} & \text{3} & \text{7}\\ \text{Midsize Cars V} & \text{15} & \text{3} & \text{5} & \text{0} & \text{7}\\ \text{Large Cars W} & \text{19} & \text{9} & \text{5} & \text{3} & \text{2}\\ \end{matrix}$$

Compute the probability distributions and expected values of Z and V. Based on the results, which of the two types of vehicle performed better in frontal crashes?

Record the journal entry to close over- or underapplied factory overhead to Cost of Goods Sold for each of the separate cases below.

A company producing jigsaw puzzles has fixed costs of $\$ 6000$ and variable costs of $\$ 2$ per puzzle. The company sells the puzzles for $\$ 5$ each. Find formulas for the cost function, the revenue function, and the profit function.