The record label is expanding into physical media. Model the appropriate product mix of vinyl, tape and CD; using the respective labour, proportional material, price, and costs given in the table below:

Product	Vinyl	Tape	CD	Digital
Labour	2	0.8	0.2	0.1
Material	0.8	0.4	0.1	0
Unit price	£12	£8	£9.99	£3.20
Variable cost	£5.50	£3	£4.50	£0.50
Demand	300	50	500	300
Unit profit	£6.50	£5	£5.49	£2.70

Work out the profit (factoring in 300 units of ‘Digital’ made) and calculate how much of the other remaining 3 product types (vinyl, tape, CD) should be made, along with the total labour used and material. Constrain your labour used to 1000 hours and your material to 400 units.