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?

ABC Company sells 10,300 units at OMR 10 per unit. Variable costs are OMR 7.5 per unit, and total fixed costs are OMR 12,500. Requirements: Calculate the following using the CM method: (a) the contribution margin ratio (b) income from operations.

Sierra Company produces its product at a total cost of $120 per unit. Of this amount, $40 per unit is selling and administrative costs. The total variable cost is $96 per unit, and the desired profit is $24.00 per unit. Determine the markup percentage using the (a) total cost, (b) product cost, and (c) variable cost methods. Round your answers to one decimal place. a. Total cost b. Product cost c. Variable cost % % %

If selling price is $150 per unit, variable cost is $81 per unit, and fixed cost is $240, calculate the contribution margin ratio.

Dilts Company has a unit selling price of $670, variable costs per unit of $450, and fixed costs of $256,000. Compute the break-even point in units using (a) the mathematical equation and (b) unit contribution margin. (Round answers to 0 decimal places, e.g. 5,275.) (a) Break-even point units (b) Break-even point units

If the unit selling price is $68 and the variable cost per unit is $20 and the total fixed costs are $456,655, then the contribution margin ratio is: (Round your answer to two decimal places and leave your answer in a decimal form, not a percentage.)

Complete the table below for contribution margin per unit, total contribution margin, and contribution margin ratio: E (Click the icon to view the table.) Compute the missing information, starting with scenario A, then for scenarios B and C. (Enter the contribution margin ratio to nearest percent, X%.) A Number of units 1,510 units Sale price per unit $ 1,600 Variable costs per unit 1, 120 Calculate: Contribution margin per unit Total contribution margin Contribution margin ratio Data Table A Number of units 1,510 units 14,390 units 2,450 units Sale price per unit 1,600 $ 4.400 5,000 Variable costs per unit 1,120 880 3,750 Calculate: Contribution margin per unit Total contribution margin Contribution margin ratio Print Done Enter any number in the edit fields and then click Check Answer. parts remaining Clear All Final Check

Wimberley Ltd provides the following data regarding its four product lines: A B C D Product Selling price ($) 10 Variable costs per unit ($) Sales mix 35 55 91 3 16 29 65 60 20 15 5 Required Calculate, to two decimal places, the weighted average contribution margin per unit (WACMU).

See information in attached image.  Questions:  Calculate the total fixed selling and administration costs. Calculate the contribution per unit Assuming a contribution of R150 and total fixed costs of R1 600 500, calculate the break-even point in units. Round your answer to the nearest whole unit. Using the information provided in the question and your answer above, calculate the margin of safety percentage. Round your answer to two decimal places.