Solve Exercise E3 taking simultaneously into account the data from Exercises E4 and E5.

Exercise E3

There are given:

Exercises E4

Solve Exercise E3, when the production total cost function has a form:

Exercise E3

There are given:

Exercises E5

Solve Exercise E3 assuming additionally that resources of production factors

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p > 0-a price of a product manufactured by a firm, c(x) = (c(x1), C2 (x2)) > (0, 0)-a vector of prices of production factors, ci (x;) = axi-a price of i-th production factor, proportional to the demand for i-th factor, X = (X1, X2) (0, 0)-a vector of inputs of production factors, y = f(x)-an output level described by an increasing, strictly concave and twice differentiable production function, r(y) = py-revenue (turnover) from sales of a manufactured product as a function of output level, r(x) = pf(x)-revenue (turnover) from sales of a manufactured product as a function of inputs of production factors,