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.

A company has cost and revenue functions, in dollars, given by $C(q)=6000+10q$ and $R(q)=12q$. Find the break-even point and illustrate it graphically.

A company has cost and revenue functions, in dollars, given by $C(q)=6000+10 q$ and $R(q)=12 q$. Find the break-even point and illustrate it graphically.

(a) Estimate the fixed costs and the marginal cost for the cost function in figure. (b) Estimate C(10) and interpret it in terms of cost.

Find $f(5)$. For:

$$\begin{array}{c|c|c|c|c|c|c|c|c} \hline x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline f(x) & 2.3 & 2.8 & 3.2 & 3.7 & 4.1 & 5.0 & 5.6 & 6.2 \\ \hline \end{array}$$

Find the equation of the line passing through the points: $(0,2)$ and $(2,2)$

The antidepressant fluoxetine (or Prozac) has a half-life of about $3$ days. What percentage of a dose remains in the body after one day? After one week?

Solve for $t$ using natural logarithms.

$$e^{3 t}=100$$

When a deposit of $\$ 1000$ is made into an account paying $8 \%$ interest, compounded annually, the balance, $\$ B$, in the account after $t$ years is given by $B=1000(1.08)^t$. Find the average rate of change in the balance over the interval $t=0$ to $t=5$. Give units and interpret your answer in terms of the balance in the account.

Draw a possible graph for $f(x)$. $\lim _{x \rightarrow \infty} f(x)=1$ and $\lim _{x \rightarrow-\infty} f(x)=+\infty$

School organizations raise money by selling candy door to door. When the price is $1 a school organization sells 2765 candies and when the price goes up to$1.25 the quantity of sold candy drops down to 2440.Find and interpret the ratio

$$\bigg|\frac{\text{Relative change in quantity }}{\text{Relative change in price}}\bigg|$$

and interpret your answer.

School organizations raise money by selling candy door to door. When the price is $1 a school organization sells 2765 candies and when the price goes up to$1.25 the quantity of sold candy drops down to 2440.Find the relative change in the price of candy.

School organizations raise money by selling candy door to door. When the price is $1 a school organization sells 2765 candies and when the price goes up to$1.25 the quantity of sold candy drops down to 2440.Find the relative change in the quantity of candy sold.

The number of US households with cable television was 12,168,450 in 1977 and 73,365,880 in 2003. Estimate the average rate of change in the number of US households with cable television during this 26-year period. Give units and interpret your answer.