The technique for calculating a bid price can be extended to many other types of problems. Answer the following questions using the same technique as setting a bid price; that is$,$ set the project NPV to zero and solve for the variable in question.

Guthrie Enterprises needs someone to supply it with $121,000$ cartons of machine screws per year to support its manufacturing needs over the next five years, and you$$ve decided to bid on the contract. It will cost you $$880,000$ to install the equipment necessary to start production; you$$ll depreciate this cost straight$-$line to zero over the project$$s life. You estimate that in five years, this equipment can be salvaged for $$71,000.$ Your fixed production costs will be $$326,000$ per year, and your variable production costs should be $$10\mathrm{.}40$ per carton. You also need an initial investment in net working capital of $$76,000.$ Assume the tax rate is $21$ percent and the required return on the investment is $11$ percent.

a$.$ Assuming that the price per carton is $$17\mathrm{.}10,$ what is the NPV of this project? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ Assuming that the price per carton is $$17\mathrm{.}10,$ find the quantity of cartons per year you need to supply to break even. $($Do not round intermediate calculations and round your answer to nearest whole number.$)$

c$.$ Assuming that the price per carton is $$17\mathrm{.}10,$ find the highest level of fixed costs you could afford each year and still break even. $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$