The Quick and Easy operates five fast-food restaurants in the UK. Input measures for the restaurants include weekly hours of operation, full-time equivalent staff and weekly supply expenses. Output measures of performance include average weekly contribution to profit, market share and annual growth rate. Data for the input and output measures are shown in the following tables. Input Measures Restaurant Hours of Operation FTE Staff Supplies (£) London 96 16 850 Manchester 110 22 1 400 Edinburgh 100 18 1 200 Bristol 125 25 1 500 Cardiff 120 24 1 600 Output Measures Restaurant Weekly Profit Market Share (%) Growth Rate (%) London £3 800 25 8.0 Manchester £4 600 32 8.5 Edinburgh £4 400 35 8.0 Bristol £6 500 30 10.0 Cardiff £6 000 28 9.0

a. Develop a linear programming model that can be used to evaluate the performance of the Manchester Quick and Easy restaurant.

b. Solve the model.

c. Is the Manchester Quick and Easy restaurant relatively inefficient? Discuss.

d. Where does the composite restaurant have more output than the Manchester restaurant? How much less of each input resource does the composite restaurant require when compared to the Manchester restaurant?

e. What other restaurants should be studied to find suggested ways for the Manchester restaurant to improve its efficiency?