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Xebec Ltd manufactures three perfumes, Silk, Musk and Opia. The selling prices and the variable costs per unit of each product are as follows: Silk Musk Opia i 1'. Selling price 15 20 30 Variable cost 10 14 20 Xebec's xed costs are 150,000 per year. There is a shortage of the raw material called Essence which is used in all three products. Silk uses 2 kilos, Musk uses 1 kilo and Opia uses 3 kilos of Essence per unit of output. Only 120,000 kilos of Essence will be available for the year, In addition, market constraints are expected to restrict the production and sales of each product for the year to: Units Silk 40,000 Musk 8,000 Opia 1 5,000 Required: Calculate the mix of sales which would enable Xebec Ltd to maximise prots, and calculate the prot for the year which would be achieved by that sales mix