A publishing company publishes a total of no more than 100 books every year. At least 20 of these are nonfiction, but the company always publishes at least as much fiction as nonfiction. Find a system of inequalities that describes the possible numbers of fiction and nonfiction books that the company can produce each year consistent with these policies. Graph the solution set...

If a firm has fixed costs of $20,000, variable cost per unit of 50 cents, and a breakeven point of 5,000 units, the price is:

A.$2.50.

B. $5.

C.$4.

D. $4.50.

As long as average revenue remains above average total cost:

A.) total revenue will be higher than total cost.

B.) the firm will be making profits.

C.) price will be greater than average total cost.

D.) All are correct.

Webby Inc. is a web development company. Webby's monthly production function for developing websites is given in Table 12P-2.

a. Fill in the marginal product column.

An auto-repair shop faces the following weekly costs: rent, $500; labor,$\$400$ per worker; parts and supplies, $\$ 30$ per repair. Each worker can repair three cars per week,

b. What are the total costs if the shop repairs 15 cars in a week?

Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, correct to one decimal place.

$$\left\{\begin{array}{l}y \geq x^3 \\ 2 x+y \geq 0 \\ y \leq 2 x+6\end{array}\right.$$

Determine A and B in terms of a and b :

$$\frac{a x^3+b x^2}{\left(x^2+1\right)^2}=\frac{A x+B}{x^2+1}+\frac{C x+D}{\left(x^2+1\right)^2}$$

Use a graphing calculator to graph the solution of the system of inequalities. Find the coordinates of all vertices, correct to one decimal place.

$$\left\{\begin{array}{l}y \leq 6 x-x^2 \\ x+y \geq 4\end{array}\right.$$

Determine A and B in terms of a and b :

$$\frac{a x+b}{x^2-1}=\frac{A}{x-1}+\frac{B}{x+1}$$

Figure 18P-4 shows supply and demand for planting trees, based on private costs and benefits. Trees sequester carbon, meaning that they help counteract pollutants that contribute to climate change.

d. What is the deadweight loss that occurs when suppliers are unable to capture the $\$ 4$ external benefit they provide from planting trees? Graph the deadweight loss.

Find the partial fraction decomposition of the rational function.

$\frac{x^5-3 x^4+3 x^3-4 x^2+4 x+12}{(x-2)^2\left(x^2+2\right)}$

Figure 18P-6 shows the daily market for water skiing permits on El Dorado Lake. Suppose each skier (each permit) causes $\$ 4$ of damage to the lake.

c. Compared to no intervention, how does the tax affect total surplus?

Figure 18P-6 shows the daily market for water skiing permits on El Dorado Lake. Suppose each skier (each permit) causes $\$ 4$ of damage to the lake.

b. Suppose the government imposes an $\$ 8$ tax on buyers of ski permits. Draw the after-tax demand curve. Is this tax too high or too low? Draw the deadweight loss associated with this $\operatorname{tax}$.

Figure 18P-6 shows the daily market for water skiing permits on El Dorado Lake. Suppose each skier (each permit) causes $\$ 4$ of damage to the lake.

a. Draw the social benefit curve that accounts for the external cost of skiers, and draw the deadweight loss that occurs at the market equilibrium. What is the socially optimal level of water sking? Calculate the deadweight loss if there is no government intervention in this market.