Question: Exercise - showing both maximum and minimum constraints Murray plc specialises in the manufacture of home improvement products, which it sells to DIY stores and

 Exercise - showing both maximum and minimum constraints Murray plc specialises

Exercise - showing both maximum and minimum constraints Murray plc specialises in the manufacture of home improvement products, which it sells to DIY stores and other similar outlets throughout UK. The company is experiencing a high demand for two of its floor polishing products known as Highgloss (H) and Warmglow (W). The products are manufactured by taking a combination of raw materials through three processes. There is a shortage of manufacturing capacity over the next month because of a need to carry out urgent maintenance work. The following data is available with regard to monthly times : 1 Joint fixed costs per month - 240 The sales director estimates that any combination of the two products could be sold without affecting their market prices. He also argues that the company's objective should be sales revenue maximisation, subject to a minimum acceptable profit of $176 per month from the two products. The financial director insists that a policy of profit maximisation should be the objective of the company at all times. REQUIRED Part (a) Assuming a policy of profit maximisation, show the constraints in the form of a graph and indicate the optimum profit and total sales revenue per month. Part (b) Assuming a policy of sales revenue maximisation, show the constraints in the form of a graph. Also indicate the optimum sales revenue per month, subject to a minimum profit of f176 per month. Part (c) Suggest reasons why an objective of maximisation of sales revenue, subject to a minimum profit constraint, may be pursued

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