A firm's cost function is given by C(x,y)=2x²+y²+2, where two outputs are produced, x and y. What are the outputs levels that minimize the costs to the firm? What is that minimal cost? Using hessian determinant show that cost is indeed minimized

Consider the following cost function: 3 C=0.2q³-6q² + 80q + 150. (Enter a numeric response using a real number rounded to two decimal places.) When output is 19 units, average cost is $ When output is 19 units, marginal cost is $ The output level where average variable cost equals marginal cost is units.

Consider the following short run cost function: TC = 4Q³ - 24Q² + 16Q + 100 Derive the expressions for marginal cost and average total cost. What can we infer about the range of output over which production shows increasing returns to labor and diminishing returns to labor?

The manager of a T-shirt stand found that the cost to produce 10 T-shirts is $105.68, while the cost to produce 40 T-shirts is $402.98. Assume the cost​ C(x) is a linear function of​ x, the number of T-shirts produced. Calculate the marginal cost of a T-shirt, that is, the change in cost of producing one additional T-shirt. (Round to 2 decimal places)