Question 3 African Designer Jewellers uses diamonds and sapphires to produce two styles of rings. A style A ring requires 2 diamonds, 3 sapphires and 1 hour of Thabo the Jeweller's labour. A style B ring requires 3 diamonds, 2 sapphires, and 2 hours of Thabo's time. Each style A ring sells for R7000 and each style B ring sells for R15000. All rings produced by Thabo can be sold. At present, African Designer Jewellers has 100 diamonds, 120 sapphires and 70 hours of Thabo's labour. Extra diamonds can be purchased at a cost of R2 000 each. Market demand requires that the company must produce at least 20 style A rings and at least 25 style B rings. To maximise profit, African Designer Jewellers should solve the following LP model: Max PROFIT 7000X + 15 000X2S - 2000R subject to Diamonds) 2X+3X2 - R 100 Sapphire) 3X1 + 2X2 120 Labour) X1 + 2X2 70 StyleA) X1 20 Style B) X2 25 Extra) and X1, X2, R 0. R 0