3. Suppose that a paper mill \"feeds\" a downstream box mill. For the downstream mill, the marginal protability of producing boxes declines with volume. For example, the rst unit of boxes increases earnings by $13, the second $9, the third $3", and so on, until the tenth unit increases prot by just $1. The cost the upstream mill incurs for producing enough paper to make one unit of boxes is $3.5D a. If the two companies are separate prot centers, and the upstream paper mill sets a single transfer price (the price the box company pays the paper mill), what price will it set, and hotsr much money will the company make? I). If the paper mill were forced to transfer at marginal cost, how much money would the company make? Paper Mll Price Quantity Revenue MR MC Prot 1D 1 10 1D 3.5 6.5!? 9 2 18 B 3 .5 l Ll 8 3 24 6 3.5 13.5 T 4 28 4 3.5 14.1313 6 5 30 2 3.5 12.53 5 6 3t] D 3.5 Q 4 T 23 -2 3.5 3.5!? 3 8 24 -4 3.5 -4. 2 9 IE 45 3.5 -l3.5I|II|| It} 1t] -8 3.5 -25. Box Mill (prot center) Quantity MR MC 1 1D DNDWH-JGNLh-PLUJH yn RD IIMUJ-PILHON'HJOO TI} TI) TI] TI} TI} TI] TI] TI} TI} TI]