The linear cost function is C(x) =
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- Given the mixed cost function y = $6.50x + $3,000. What does the $6.50 represent? a.Total cost per unit of the cost driver b.The fixed cost per unit c.The slope of the cost function d.Total fixed costsCost, revenue, and profit are in dollars and x is the number of units. If the total profit function is P(x) = 3x – 18, find the marginal profit MP. MP = What does this mean? O This is the total cost. O The next unit sold costs this much to make. O This is the total revenue. O The next unit sold earns this much profit. O This is the total profit.Evaluate the quantity at which revenue equals to costs (break-even point). <use Goal seek> Assumptions: Fixed cost: 5000 Material costs per item: 2.25 Labor costs per item: 6.5 Shipping costs per 100 items: 200 Price per item: 12.99
- Suppose that the total cost function, in dollars, for the production of x units of a product is given by the equation shown below. C(x) = 4,500 + 30x + 0.2x² Then the average cost of producing x items is represented by the following equation. total cost 4,500 C(x) + 30 + 0.2x (a) Find the instantaneous rate of change of average cost with respect to the number of units produced, at any level of production. (b) Find the level of production at which this rate of change equals zero. X = (c) At the value found in part (b), find the instantaneous rate of change of cost and find the average cost. instantaneous rate of change of cost average cost What do you notice?For a certain product, the revenue is given by R = 60x and the cost is given by C(x) = 40x + 1100. To obtain a profit, the revenue must be greater than the cost. For what values of x will there be a profit? x >Suppose a ceiling fan manufacturer has the total cost function C(x) = 35x + 1200 and the total revenue function R(x) = 65x. (a) What is the equation of the profit function P(x) for this commodity? P(x) = (b) What is the profit on 20 units? P(20) = Interpret your result. The total costs are less than the revenue. The total costs are more than the revenue. The total costs are exactly the same as the revenue. (c) How many fans must be sold to avoid losing money? fans
- Refer to the pictur ebelow: Find: 1. Total Cost of Product A under ABC System2. Total Cost of Product B under ABC System3. Selling Price per unit of Product B assuming profit margin of 20% above costThe amount of a units sales price that helps to cover fixed expenses is its ____________________. A. contribution margin B. profit C. variable cost D. stepped costThe table shows cost, C (q), and revenue, R (q). What are the fixed costs? Fixed costs = i 9 R(q) C(q) 0 0 2500 3000 2500 5000 7500 10000 12500 15000 500 1000 1500 2000 6000 6500 7000 7500 9500 11500 14250
- For the given cost function C(x) = 28900+ 500x + x², First, find the average cost function. Use it to find: a) The production level that will minimize the average cost X = b) The minimal average cost $1. The slope of line B is equal to the: a. fixed cost per unit. b. selling price per unit. c. variable cost per unit. d. profit per unit. e. unit contribution margin. 2. Line A is the: a. total revenue line. b. Option 2 c. fixed cost line. d. variable cost line. e. total cost line. f. profit line.Answer the following: 1. The slope of line A is equal to the: a. fixed cost per unit. b. selling price per unit. c. profit per unit. d. semivariable cost per unit. e. unit contribution margin. 2. Line C represents the level of: a. fixed cost. b. variable cost. c. semivariable cost. d. total cost. e. mixed cost. 3. Line B represents the level of: a. fixed cost. b. variable cost. c. semivariable cost. d. total cost. e. mixed cost. 4. The slope of line B is equal to the: a. fixed cost per unit. b. selling price per unit. c. variable cost per unit. d. profit per unit. e. unit contribution margin. 5. Line A is the: a. total revenue line. b. Option 2 c. fixed cost line. d. variable cost line. e. total cost line. f. profit line.