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 number
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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 number
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Solved in 3 steps
- If a firm has a contribution margin of $78M90 and a net income of $13,700 for the current month, what is their degree of operating leverage? 0.21 1.21 2.4 5.7Suppose you are analyzing a firm that is successfully executing a strategy that differentiates its products from those of its competitors. Because of this strategy, you project that next year the firm will generate 6.0% revenue growth from price increases and 3.0% revenue growth from sales volume increases. Assume that the firms production cost structure involves strictly variable costs. (That is, the cost to produce each unit of product remains the same.) Should you project that the firms gross profit will increase next year? If you project that the gross profit will increase, is the increase a result of volume growth, price growth, or both? Should you project that the firms gross profit margin (gross profit divided by sales) will increase next year? If you project that the gross profit margin will increase, is the increase a result of volume growth, price growth, or both?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…
- 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. Given the following graphs, calculate the total fixed costs, variable costs per unit, andsales price for Firm A. Firm B’s fixed costs are $120,000, its variable costs per unit are$4, and its sales price is $8 per unit.b. Which firm has the higher operating leverage at any given level of sales? Explain.c. At what sales level, in units, do both firms earn the same operating profit?a.Explain why contribution margin per unit becomes profit per unit above the break-even point b. If the contribution margin per unit is $7 and the break-even point is 10,000 units, how much profit will a firm make if 15,000 units are sold? c.What is the variable cost ratio? The contribution margin ratio? How are the two ratios related?
- 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.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?If a company’s variable costs are 70% of sales, which formula represents the computation of peso sales that will yield a profit equal to 10% of the amount of sales when P equals sales in pesos for the period and FC equals total fixed costs for the period? a. P = .2/FC b. P = FC/.2 c. P = .27/FC d. P = FC/.27
- A firm presently has total sales of P100,000. If its sales rise, its A. net income based on variable costing will go up more than its net income based on absorption costing. B. net income based on absorption costing will go up more than its net income based on variable costing. C. fixed costs will also rise. D. per unit variable costs will riseA company has return on sales of 20%, income of $50,000, selling price of $10, and a contribution margin of 40% . A. What are fixed costs? Why? How? B. What are variable costs per units? Why? How? C. What are sales in units? D. What are sales in dollars? Why? How?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?
