Chuck Bartowski is the owner of Orion DVD which produces two types of DVDs regular DVDs and Blue Ray DVDs. Mr. Bartowski is willing to pay you a one mark bonus for writing the name of your favourite colour in the space below. The manufacture of each DVD type requires processing on each of three machines. The excel results are below.

	Regular	Blue Ray
Number	10	0		Profit
Profit/dvd	30	25		300
			Used (hours)		Limit
Machine 1	2.2	2.8	22	<=	22
Machine 2	2	2	20	<=	22
Machine 3	2.2	1	22	<=	22

a- State the decision variables

b-State the objective function mathematically

c-Mathematically state the constraints

d-What resources, if any, would you recommend buying or acquiring more of? Briefly explain

e-State the optimal values for each decision variable

f-How much profit is earned by manufacturing regular DVDs?