Managerial Economics
A television station is considering the sale of promotional DVDs. It can have the DVDs produced by one of two suppliers. Supplier A will charge the station a setup fee of $1200 plus $2 for each DVD; supplier B has no setup fee and will charge $4 per DVD. The station estimates its demand for the DVDs to be given by Q = 1,600  200P, where P is the price in dollars and Q is the number of DVDs. The price equation is P = 8 Q/200.
A. Suppose the station plans to give away the videos. How many DVDs should it order? From which supplier?
B. Suppose instead that the station seeks to maximize its profit from sales of DVDS. What price should be charged? How many DVD should it order from which supplier? Solve two separate problems, one with supplier A and one with supplier B, and then compare profits.
In each case apply the MR = MC rule.
I cannot get this set up to work the problem can you help me?

a: if price is zero, then q=1600
how many to order is q.
then, cost to order from A is 1200+3200=4400
cost to order from b=4*1600=5200
order from A.
B: R=PQcost
dR/dq=dP/dq q + P dCost/dq
now, for supplier A
dcost/dq=2
dR/dq=0=1/200 q + 800q/200 2
q(1/100)=798
q= 79800
For supplier B
dR/dq=0=q/200 +800q/200 4
q=79600
check that, it is late at night.posted by bobpursley

Thanks, bobpursely
Yes the B: R=PQcost is what I was missing at first, but after plugging it in and checking, it's correct. Thanks
You do great work when it's late!posted by BJ
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