A designer clothing firm makes ladies’ scarves and blouses using a blend of wool and silk fibres. The quantity of fibre (in grams) required for a scarf and a blouse, and the profit (in $s) made from the sale of each item are shown in the table below:(a) Write down an expression for the total profit if the firm makes x scarves and y blouses.
(b) If the firm has a weekly supply of 10.8 kg of silk and 19.2 kg of wool available, write down four constraints on the variables x and y.
(c) Show the feasible region on a sketch graph.
(d) How many scarves and blouses should the firm make each week to maximise profit?

Transcribed Image Text:

Wool Profit Silk Scarf 12 24 70 Blouse 12 18 84 2.