Suppose a company has fixed costs of $36,000 and variable cost per unit of +222 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1,452x dollars per unit. (a) Form the cost function and revenue function (in dollars). C(x) = R(x) = Find the break-even points. (Enter your answers as a comma-separated list.) (b) Find the vertex of the revenue function. (x, y) = Identify the maximum revenue. (c) Form the profit function from the cost and revenue functions (in dollars). P(x) = Find the vertex of the profit function. (x, y) = Identify the maximum profit. $

For the following problem, what would be the objective function that aims at minimizing the total cost considering that X1, X2, X3, and X4 are the number of units produced and sold of Products 1, 2, 3, and 4, respectively? Manufacturing time (hr) per unit Machine Cost per hr ($) Product 1 Product 2 Product 3 Product 4 Capacity (hr). 10 2 4 2 500 5 3 1 2 380 4 7 1 450 Unit selling price ($) 75 45 O a. 20X1+30X2+40X3+20X4 O b. None of the answers OC. 75X1+70X2+55X3+45X4 Od. 63X1+52X2+53X3+34X4 123 دي دا فيا 70 2 55

Assume that the linear cost and revenue models apply. An item costs $6 to make. If fixed costs are $2400 and profits are $2100 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.) R(x) =

production function is Q = An orange grower has discovered a process for producing oranges that requires two inputs. The min{2x1, x2}, where x₁ and x2 are the amounts of inputs 1 and 2 that he uses. The prices of these two inputs are w₁ = 5 and w₂ = = 2, respectively. The minimum cost of producing 140 units is (a) $980 (b) $630 (c) $1400 (d) $280 (e) $700

The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced and sold?

Question 22

A firm's production function can be written as:Q = 5LKwhere Q represents output per day. The unit costs of inputs are $150 for labor (L) and$1,000 for capital (K). Determine the least cost combination of L and K when output isproduced at the rate of 1,000 tons per day. Determine the required outlay for 1,000 tons perday.

Suppose a company has fixed costs of $1500 and variable costs of (3/4)x + 1120 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1200 − (1/4)x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.)x =  (b) Find the maximum revenue. (Round your answer to the nearest cent)$  (c) Form the profit function, P(x), from the cost and revenue functions.P(x) =         Find maximum profit. (Round your answer to the nearest cent.)$ (d) What price will maximize the profit? (Round your answer to the nearest cent.)

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For the given cost function C(x) = 40000 + 700x + x² find: a) The cost at the production level 1700 b) The average cost at the production level 1700 c) The marginal cost at the production level 1700 d) The production level that will minimize the average cost e) The minimal average cost