(a) An economy has two interrelated industries namely Tea and Coffee. Tea uses Sh. 800m of what it produces and sells off Sh. 300m to Coffee. Coffee uses Sh. 600m of what it produces. The final demand for Coffee is Sh. 200. The total output for Tea and Coffee are Sh. 1,500m and Sh. 1,200m. The Ministry forecasts that the demand for Tea and coffee shall increase by 20%. Determine the total output for the two industries (4 Marks) (b) Determine the critical points, and specify whether it's a maxima or minima, in the function below. L = 20x-210 + 2000e0.01% (3 Marks) (c) A particular brand of toothpaste at a supermarket chain has a demand of 50 tubes per week at KSh 2.35 per tube. Find the price-demand equation given that the marginal price-demand function, p'(x), for x number of tubes per week, is given as p'(x) = -0.015e001 If the supermarket chain sells 100 tubes per week, what price should it set? (a) An economy has two interrelated industries namely Tea and Coffee. Tea uses Sh. 800m of what it produces and sells off Sh. 300m to Coffee. Coffee uses Sh. 600m of what it produces. The final demand for Coffee is Sh. 200. The total output for Tea and Coffee are Sh. 1,500m and Sh. 1,200m. The Ministry forecasts that the demand for Tea and coffee shall increase by 20%. Determine the total output for the two industries (4 Marks) (b) Determine the critical points, and specify whether it's a maxima or minima, in the function below. L = 20x-210 + 2000e0.01% (3 Marks) (c) A particular brand of toothpaste at a supermarket chain has a demand of 50 tubes per week at KSh 2.35 per tube. Find the price-demand equation given that the marginal price-demand function, p'(x), for x number of tubes per week, is given as p'(x) = -0.015e001 If the supermarket chain sells 100 tubes per week, what price should it set