Assume P = 250 - 1Q and TC = 156 + 1Q2. What level of production maximizes profit? Enter as a value (round to two decimal places if necessary).
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Assume P = 250 - 1Q and TC = 156 + 1Q2. What level of production maximizes profit? Enter as a value (round to two decimal places if necessary).
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- A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.Assume TC = 400 + 2Q3 What is the marginal cost at the 4th unit? Enter as a value.Showing your analytical work clearly in a step by step manner is a must. Otherwise points will be deducted. You can use Excel or any other graphing tool. A startup software company has indicated its cost, c(x), and revenue, f(x), as given below, such that x is the number of lines of programing code (units in 1000 lines). c(x) = 80000 - 2(x-200)2 f(x) = (x-10)3 + (x+10)2 Find the marginal cost analytically, and draw its graph Find the marginal revenue analytically, and draw its graph Solve for the x point where marginal cost is equal to marginal revenue analytically. Comment why is this point significant analytically. Write the profit function and draw its graph Is the profit function concave up or concave down? Answer all questions neatly please
- The profit of a company, in dollars, is the difference between the company's revenue and cost. The cost, C(x), and revenue, R(x), are functions for a particular company. The x represents the number of items produced and sold to distributors. C(x)=-2300+40x R(x)=840x-x² a) Determine and simplify the profit function. Write your answer in descending order. P(X)-Profit The profit for a product is given by P(x) =19x - 5060, where x is the number of units producedand sold. Find the marginal profit for the product.A company has cost and revenue functions, in dollars, given by C(q) = 6000 + 10g and R(q) – 12q . (a) Find the cost and revenue if the company produces 500 units. Does the company make a profit? What about 5000 units? Enter the exact answers. The cost of producing 500 units is $ The revenue if the company produces 500 units is $ | Thus, the company a profit. The cost of producing 5000 units is $ The revenue if the company produces 5000 units is s Thus, the company a profit. (b) Find the break-even point. Enter the exact answer. The break-even point is |units. Which of the following illustrates the break-even point graphically? 50000 R(g) C(q) 40000 30000 20000 10000 1000 2000 3000 4000 5000 50000 40000 30000 - 20000 10000 R(g) C(g) 1000 2000 3000 4000 5000
- Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is MC = 2x + 25, that its marginal revenue is MR = 73 – 6x, and that the cost of production of 80 units is $8,560. (a) Find the optimal level of production. units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a -Select--- v of $A small ice cream company estimates its revenue to be R = 6x dollars, where a = the number of quarts of ice cream sold. The ice cream company estimates its fixed monthly costs to be $500 and the cost to produce each quart of ice cream to be $5.5, where r = the number of quarts of ice cream sold. What is the selling price of each quart of ice cream? In order to break even, the company must sell at least quarts of ice cream each month. What is the margin of profit if 650 quarts of ice cream are sold each month? (If a loss, indicate with a negative sign) What is the margin of profit if 1900 quarts of ice cream are sold each month? dollars. (If a loss, indicate with a negative sign)the revenue function for making the worst widget is r(x)= 15.01x-100. The cost function for producing this product is represented by the function c(x)=15x+19900. The worst widget makers turn out 500,000 widgets every year. how many years will pass before the worst widget company is profitable?
- Explains it correctly. Not copy paste.last time incorrect solution given so carefully detaulsUse the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C = 8950x + 220,000, R = 9857xA company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5000 p = 38 + (for D>1) D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is the number of units and total amount that should be produced and sold each month to maximize profit?
