A small tailor makes two products - jackets and overcoats. The profit made on each jacket sold is 30 whereas each overcoat yields a profit of 20. The tailor has a workforce of five people - each working a 40-hour week, whereas due to a shortage of working capital he cannot purchase more than 250m2 (square metres) of cloth per week. Production of one jacket requires 2 hours of labour time and 2.5m2 of material. Production of one overcoat requires 1.5 hour of labour time and 1.5m2 of material. The tailor has a contract to supply a large local store with at least 10 jackets and 10 overcoats per week. He wants to find the optimal number of the two products to sell each week in order to maximise his profit. Assignment requirements a. Formulate the above problem as a linear programming problem. Your formulation should include clear definitions of all the variables used. b. Solve the problem using the graphical solution method. c. Examine whether the optimal solution will produce any spare resources. Assignment report Produce a short report which should clearly explain your work and your findings. Your report should be properly structured and include an appropriate introduction and clear conclusions from your analysis. The application of methods and all the tools used must be clearly shown in your report. Your report should not exceed 750 words