Problem $8-37$ Calculating a Bid Price

Guthrie Enterprises needs someone to supply it with $159,000$ cartons of machine screws per year to support its manufacturing needs over the next five years, and you$$ve decided to bid on the contract. It will cost you $$1,990,000$ 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 $$169,000.$ Your fixed production costs will be $$284,000$ per year, and your variable production costs should be $$10\mathrm{.}40$ per carton. You also need an initial investment in net working capital of $$149,000.$ If your tax rate is $24$ percent and you require a return of $13$ percent on your investment, what bid price per carton should you submit? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$