A company makes two types of leather shoes, shoe A and shoe B. Shoe A is a high quality shoe and shoe B is a low quality. The respective net returns are K4 and K3 per shoe. The production of each of type A requires twice as much time as shoe of type B, and if all shoes were of type B, the company could make 1000 shoes per day. The supply of leather is sufficient for only 800 shoes per day (both B and B combined). Shoe A requires a fancy laces and only 400 of these are available per day. There are only 700 laces a day for shoes B.
(a) Formulate the LPP and state the assumption you made.
[5 marks]
(b) Determine the daily production of each type of shoe type. Use simplex method.
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