How many units of each type should the firm buy in order to maximize total return?
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A firm decides to invest x units of capital in project A and y units in project B. The expected return for 1 unit of investment is $400 in project A and $800 in project B. However, in order to meet the expectations of the firm’s ethical and environmental policy, the values of x and y must satisfy the constraint
x2 + y2 − 4x − 6y = 67
How many units of each type should the firm buy in order to maximize total return?
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