QuestionLeasing costs, equipment maintenance, salaries, electricity, and marketing cost a car manufacturer an average of $\$ 100000$ per day to produce a certain type of car. Materials, invoices, and shipping cost the manufacturer an average of $\$ 6000$ per car. a. Suppose that the car manufacturer produces and sells $n$ cars of that type per day. Let $C(n)$ be the total daily cost (in dollars). Find a formula of $C$. $$C(n)=100000+6000 n$$ b. Suppose that the car manufacturer produces and sells $n$ cars of that type per day. Let $B(n)$ be the amount (in dollars) the manufacturer should charge per car to break even by selling $n$ cars. Find an equation of $B$. $$B(n)=\frac{100000}{n}+6000$$ c. Suppose that the car manufacturer produces and sells $n$ cars of that type per day. Let $P(n)$ be the amount (in dollars) the manufacturer should charge per car to make a profit of $\$ 2000$ per car. Find a formula of P. [Hint: Build on your equation from part (b) to find an equation of P.] $$P(n)=\frac{100000}{n}+8000$$ d. Find $P(40)$. $$\mathrm{P}(40)=\$ \square$$ (Round to the nearest dollar.)