introduction to operations research

Sleek Sdn. Bhd. is planning on introducing 2 new stool designs (Deni 8: Arni) for their 2022 furniture catalogue. Each stool is made up of 4 legs and 1 seat. Both designs use the same seat. Deni has shorter (1.5 foot) legs, while Ami has longer (2.5 foot} legs. It takes 0.1 hours of labour to cut and shape a short leg, 0.15 hours to do the same for a long leg, and 0.5 hours to produce a seat. It takes an additional 0.3 hours to attach a set of legs to a seat for either design. The estimated prolit is FtM25 for each Deni sold and RM45 for each Ami sold. Sleek has unlimited access to material for seats, but only has 500 feet of material for the legs, and 75 labour hours available. Formulate a Linear Program for Sleek Sdn. Bhd. that optimises profit. Assume that Sleek is able to sell all stools that they make and that they must have zero leftover legs and seats