Exercise IV: Maximizing profit II

Find the quantities that maximize the profit in Exercise III. Explain everything clearly.

*ONLY ANSWER EXERCISE IV PLEASE

Exercise III: Maximizing profit I Assume that a company gets x tons of steel from one provider, and y tons from another one. Assume that the profit made is then given by the function P(x, y) = 9x + 8y - 6(x + y)2. The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally, in order not to antagonize the first provider, it was felt it should not provide too small a fraction, so that x > 2(y 1). 1. Does P have critical points? 2. Draw the domain of P in the xy-plane. 3. Describe each boundary in terms of only one variable, and give the corresponding range of that variable, for instance "(x,x2) for xe [1, 2]. There can be different choices. Exercise IV: Maximizing profit II Find the quantities that maximize the profit in Exercise III. Explain everything clearly