Suppose demand is Q = 10000 - 1000P and marginal cost is constant at MC=6. From the given demand curve, one can compute the following marginal revenue curve: MR = 10 - Q/500 a. Graph the demand, marginal cost, and marginal revenue curves show full and complete calculations for each.
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Suppose demand is
and marginal cost is constant at MC=6. From the given demand curve, one can compute the following marginal revenue curve:
MR = 10 - Q/500
Step by step
Solved in 2 steps
- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.Match each graph with the function it best represents-a demand function, a revenue function, a cost function, or a profit function. Explain your reasoning. y 35,000 30,000 25,000 b. 20,000 15,000- 10,000 5,000 d. 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000 Graph a is the cost VX function. The number of units sold decreases as the price increases Graph b is the revenue function. This function increases linearly V with the number of units produced. Graph c is the demand x and graph d is the revenue A cost X function is less than a cost X function. Need Help? Read It Submit Answer LARAPCALC10 3.4.009.MI.SA. MY NOTES ASK YOUR TEACHER PRAA 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?
- The blue curve on the following graph represents the demand curve facing a firm that can set its own prices. Use the graph input tool to help you answer the following questions. You will not be scored on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. PRICE (Dollars per unit) 100 TOTAL REVENUE (Dollars) 90 80 20 10 0 1250 1125 1000 875 750 625 500 On the previous graph, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 10, 20, 25, 30, 40, or 50 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. 375 250 125 + 0 0 0 Demand 5 10 15 20 25 30 35 40 45 50 QUANTITY (Units) + 5 20 10 15 25 30 35 QUANTITY (Number of units) 40 Graph Input Tool Market for Goods 45 50 Quantity Demanded (Units)…2.1 A manufacturer estimates that its variable cost for manufacturing a given product is given by the following expression: C(q) = 25q² + 2000q [$] where C is the total cost and q is the quantity produced a. Derive an expression for the marginal cost of production b. Derive expressions for the revenue and the profit when the widgets are sold at marginal cost.Use the table to compute the marginal revenue and marginal cost
- Suppose Felix runs a small business that manufactures frying pans. Assume that the market for frying pans is a competitive market, and the market price is $20 per frying pan. The following graph shows Felix's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for frying pans quantities zero through seven (inclusive) that Felix produces. TOTAL COST AND REVENUE (Dollars) 200 175 150 125 100 75 50 25 0 -25 0 1 ● ^ 2 O ☐ A ☐ A 3 4 5 QUANTITY (Frying pans) O ☐ 6 Total Cost ☐ 7 8 o Total Revenue Profit ? image 1 Calculate Felix's marginal revenue and marginal cost for the first seven frying pans he produces, and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost at each quantity.A company produces very unusual CD's for which the variable cost is $ 9 per CD and the fixed costs are $ 50,000. They will sell the CD's for $ 57 each. Let x be the number of CD's produced and sold. a. Write the total cost TC as a function of the number of CD's produced and sold. TC = $ b. Write the total revenue TR as a function of the number of CD's produced and sold. TR = $ c. Write the total net income NI as a function of the number of CD's produced and sold. NI = $ d. Find the number of CD's which must be produced and sold to breakeven. The number of CD's which must be produced and sold to breakeven is Round UP to the nearest whole number of CDs. Submit QuestionWhat would be the profit earned by the firm if his total revenue is $490 and the total costs are $500
- Given cost and price (demand) functions C(g)= 110q + 44,600 and p(g) = - 2g + 860, what is the marginal revenue at a production level of 55 items? The marginal revenue is $ . (Round answer to nearest dollar.) Pr rithThe company AffordableStuff sells cell phones. The marginal cost for each cell phone is given by the equation C(x) = 0.01x² – 3x + 229. a is the number of cell phones manufactured and sold. The marginal revenue function is R(x) = 429 – 2.x. Both C(x) and R(x) are given in dollars. a) Where do these curves intersect? What do those intersection points mean? b) Find the area between the curves, using end points that make sense. Round to the nearest cent. c) What does the area under the curve mean in this case?A company produces very unusual CD's for which the variable cost is $ 15 per CD and the fixed costs are $ 50000. They will sell the CD's for $ 79 each. Let a be the number of CD's produced. Write the total cost C as a function of the number of CD's produced. C =$ Write the total revenue R as a function of the number of CD's produced. R=$ Write the total profit P as a function of the number of CD's produced. P=$ Find the number of CD's which must be produced to break even. The number of CD's which must be produced to break even is Question Help: Video Submit Question
