0 is the total fixed cost. What is the total units to be sold to arrive a profit of 146,000?
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The cost equation of YTS Inc. is y = 35x + 400,000. y is the profit, 35 is the contribution margin per unit, x is the number of units sold, and 400,000 is the total fixed cost. What is the total units to be sold to arrive a profit of 146,000?
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- A product has a sales price of $150 and a per-unit contribution margin of $50. What is the contribution margin ratio?Calculate the per-unit contribution margin of a product that has a sale price of $200 if the variable costs per unit are $65.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
- A company produces and sells a product. The company has found that the costto produce x units of the product is given by C(x) = 50x + 200 (in dollars),and the revenue from selling x units is given by R(x) = 100x - x? (in dollars).What is the number of units the company should produce and sell to maximize profitThe total revenue function for a product is given by R=805 x dollars, and the total cost function for this same product is given by c=24500+70x+x square, 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 26 units are produced and sold? c. What is the profit when 40 units are produced and sold? d. How many units must be sold to break even on this product?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?
- The revenue for selling x units of a product is R = 150x. The cost of producing x units is C = 125x + 800. For what values of x will this product generate a profit?A firm has a cost function C(x)=10x+107, where x represents the number of units produced. the firm's revenue function is R(x)=38x if x is equal to 78 find the firm's profit. round to the nearest whole numberA company determined that the marginal cost, C′(x) of producing the xth unit of a product is given by C′(x)=x3−2x. Find the total cost function C, assuming that C(x) is in dollars and that fixed costs are $2000.
- Assume that the linear cost and revenue models apply. An item costs $13 to make. If fixed costs are $1600 and profits are $5700 when 100 items are made and sold, find the revenue equation. (Let x be the number of items.)R(x) =The Marginal Revenue function for a company's product is:MR = 240000 - 22xwhere x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue.A business has selling price of P 129.50 with an average variable cost of P 54.40. Fixed costs are P 1,400,000. Calculate the following: What is the unit contribution margin? (Answer the figures only; two decimal places)