b) A firm has two plants with the following total cost functions: Plant 1: TC 100 + 200 + Q² Plant 2: TC = 50 + 10Q + Q5 Where TC is total cost for each plant. If the firm is minimizing its costs and if it is producing 5 units of each output in the first plant, how many units of output is it producing in the second plant? Explain. c) Consumers in Zambia like to take their Fruiticana with roasted goat meat. Suppose that consumers in Mazabuka pay twice as much for Fruiticana as for roasted goat meat whereas consumers in Lusaka pay 50 per cent more for Fruiticana than for roasted goat meat. If consumers in both towns maximise utility, will the marginal rate of substitution of roasted goat meat for Fruiticana be the same in Mazabuka as in Lusaka? If not, in which town will it be higher?