6-1 Discussion MATH136

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

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?

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.

Suppose the marginal cost and marginal revenue (in ¢000) for a product produced by a company is estimated to be MC=q+35 MR=560+22q-q^2 Where q is the quantity produced and the firm’s break-even is 5 units per week You are Required to I. determine the total cost and the total revenue function in terms of q. II. estimate the output at which profit is maximize  III. calculate the maximum 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 profit

If a product sells P^(7500) and costs P^(4300) to manufacture, its gross margin is P^(3200). Find the margin percent.

A manufacturer has a monthly fixed cost of $87,500 and a production cost of $15 for each unit produced. The product sells for $20/unit. (a) What is the cost function? CX) (b) What is the revenue function? R(x) - (c) What is the profit function? Px) - (d) Compute the profit (loss) corresponding to production levels of 15,000 and 20,000 units. (Input a negative value to indicate a loss) PL1S,000)- P(20,000) =

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?

How much would be needed today to provide an annual amount of $50000 each year for 20 years, at 9% interest each year? a. $546,000 O b. $456,427 O c. $645,000 O d. $456,000

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?

1.1 If the Cost of Sales for Company x is 150000, the Gross Profit is250000 and the Sales is 400000 ; the Gross Profit Margin will be:

Given that the total cost, C, is related to sales volume, x, by the equation y=1000+0.2x, say true or false for the following and proof it. (a) The cost-sales line rises $2 for each increase of $10 in sales volume. (b) The slope of the line is interpreted as variable cost

The net profit margin tells how much profit a company makes for every dollar it generates in revenue. If N is the net income (the income after taxes have been paid) and R is the total revenue, then the net profit margin M is given by M(N, R) = . A certain company pays a tax rate of 10% on its income. (a) Use I for the income before taxes, and express the net income N in terms of I. (Be careful: N is the part of I left after taxes-not the part you pay in taxes.) N = (b) Use a formula to express the net profit margin in terms of the variables I and R. M =

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 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 breakeven sales revenue? Use 2 decimal places in computing CM Ratio (Answer the figures only; no decimal places)

The net profit margin tells how much profit a company makes for every dollar it generates in revenue. If N is the net income (the income after taxes have been paid) and R is the total revenue, then the net profit margin M is given by N M(N, R) R = A certain company pays a tax rate of 20% on its income. (a) Use I for the income before taxes, and express the net income N in terms of I. (Be careful: N is the part of I left after taxes-not the part you pay in taxes.) N = (b) Use a formula to express the net profit margin in terms of the variables I and R. M =

then the gross profit margin M = M(G, T) is given by the formula M = GT. Use functional notation to express the gross profit margin for a company that has a gross profit of $355,000 and a total revenue of $510,000

Company XYZ is producing and selling 2,500. At this level, the selling price per unit is $10, the variable expenses per ?unit is $6, and fixed expenses are $1,500. How much is the profit $13,500 a O $8,500 .b O $16,000 .c O $11,000 .d O $6,000 .e O

Suppose the initial demand for a product is estimated at 2 million units at $1.20 each. Suppose it costs $0.70 to produce each unit and general, selling and administration cost another $0.26 per unit on average.What is the return on sales for the foregoing activities?subject is account.

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?

The following information is extracted from the income statement of Al Shams Private Ltd. The Price (P) per unit of product is OMR 12 and Variable cost (VC) per unit is OMR 7 and fixed operating cost is OMR 8,000.Answer the following question after analyzing the given table.     YEAR 1 YEAR 2 Sales (in units)   5,000 9,500 Sales Revenue (in OMR) ? ? Less: Variable operating costs ? ? Less: Fixed operating costs 8,000 ? Earnings before interest and taxes (EBIT) ? ?   Complete the table Calculate the Degree of Operating Leverage (DOL). Interpret your answer (DOL).

A manufacturer produces gizmos at a cost of P5 each. The manufacturer computes that if each gizmo sells for x pesos, (15 – x) gizmos will be sold. What is the manufacturer's profit function a(x)? What price x should the manufacturer charge to maximize profit? (Hint: If the profit function is concave, the maximum point is the point where the slope is zero.)

A 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?

A company produces 4 different products. Table 1 shows the selling price, production cost, and selling probability associated with each product. Product Selling Price Production Cost Selling Probability A $350 $300 0.24 B $290 $250 0.17 C $275 $220 0.23 D $175 $150 0.36   Calculate the expected value and standard deviation of the company’s revenue related to selling these products. Calculate the expected value and standard deviation of the company’s cost related to selling these products. What would be the expected profit and its standard deviation? Explain every assumption you made.

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 rise

P Company has provided the following data: Sales Price per unit: $50.  Variable Cost per unit: $30; Fixed Cost: $135,000 Expected Sales: 20,000 units. a. What is the breakeven point in sales dollars?  b. What is the break-even point in units?  c. Calculate the expected profit.

ABC Company has the following information: Variable Cost per Unit is P 15; Fixed Expenses is P54,000; and Selling Price per Unit is P20. What is the break-even point in units?