The Marginal Revenue function for a company's product is: MR = 240000 - 22x where x equals the number of units sold. If total revenue equals 0 when 0 units are sold, determine the total revenue.
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The Marginal Revenue function for a company's product is:
MR = 240000 - 22x
where x equals the number of units sold. If total revenue equals 0 when 0 units
are sold, determine the total revenue.
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Solved in 2 steps
- The 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?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 profitA 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 number
- For a certain company, the cost function for producing x items is C(x)=40x+200, and the revenue function for selling x items in R(x)=−0.5(x−80)2+3,200. The maximum capacity of the company is 110 items. The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!Assuming that the company sells all that it produces, what is the profit function?P(x)= Preview Change entry mode . Hint: Profit = Revenue - Cost as we examined in Discussion 3. What is the domain of P(x)?Hint: Does calculating P(x) make sense when x=−10 or x=1,000? The company can choose to produce either 40 or 50 items. What is their profit for each case, and which level of production should they choose?Profit when producing 40 items = Number Profit when producing 50 items = Number Can you explain, from our model, why the company makes less profit…i) the marginal revenue function for a company's product is MR = 40,000 - 4x ii) where x equals the number of units sold. if total revenue equal 0 when no units are sold, determine the total revenue function for the product. The function describing the marginal cost ( in dollars ) for producting a product is MC =8x +800 When x equals the number of units produced. it is known that cost equals $80,000 when 40 units are produced. determine the total cost function. iii) the function describing the marginal profit from producing and selling a product is MP = -6x + 450 when x equals the number of units and MP is the marginal profit measured in dollars. when 100 units are produced and sold, total profit equals $5000. determine the total profit function. iv) the functions describing the marginal profit from producing and selling a product is…Once a company exceeds its breakeven level, operating income can be calculated by multiplying: a. The sales price by unit sales in excess of breakeven units. b. Unit sales by the difference between the sales price and fixed cost per unit. c. The contribution margin ratio by the difference between unit sales and breakeven sales. d. The contribution margin per unit by the difference between unit sales and breakeven sales.
- A 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.Once a company exceeds its breakeven level, operating income can be calculated by multiplying: The sales price by unit sales in excess of breakeven units. Unit sales by the difference between the sales price and fixed cost per unit. The contribution margin ratio by the difference between unit sales and breakeven sales. The contribution margin per unit by the difference between unit sales and breakeven sales.The following information relates to the operations of a company; cost per unit from supplier- GH¢80, variable cost per unit GH¢40 and total fixed cost of GH¢300000. The company determines its selling price by adding a margin of 20%. What is the breakeven quantity?
- 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?A product has a sales price of $230 and a per-unit contribution margin of $115. What is the contribution margin ratio? Contribution margin ratio fill in the blank 1%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) =
