(1) The revenue for a product is R(x) = -0.004x? + 21x 6200 and the cost is C(x) = 0.02x + 38, for x units produced and sold/ (a) Find the marginal profit for 2800 units. (b) Should output be increased or decreased to generate a higher profit?
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- Given that the relationship between the sales price for one of a company’s products and the quantity sold per month is D = 500 – 5p units where D is the demand or quantity sold per month and p is the unit price in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit produced. (a) Determine the optimal number of units that should be produced and sold per month. (b) What is the maximum profit per month related to the product? (c) What is the company’s range of profitable demand? Support your answers graphically.Please answer with details on how to do it. A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. Find the breakeven quantity c) How many units must be sold to maximize profit? What is the company’s maximum profit?A certain firm has a capacity to produce 650,000 units of a certain product per year. At present, it is operation at 62% capacity. The firm's annual income is ₱4,160,000. Annual fixed cost is ₱1,920,000 and the variable cost are equal to ₱3.56 per unit. What is the annual profit or loss?
- A company has a production capacity of 500 units per month and its fixed costs are ₱250000 per month. The variable costs per unit are ₱1,150 each and each unit can be sold for ₱2000. Economy measured are instituted to reduce the fixed cost by 20% and variable cost by 10%. Determine the old and new break even points. What are the old and new profit at 100% capacity?While a firm produces 200 units, the total cost of production is $ 4000. When they increase the output to 220, the cost increases to $ 4200. When the firm produces zero output, the cost is $ 1000. a) What is the fixed cost per unit when they produce 200 units? (ans: $5) b) How much sales would they have to sell at a selling price of $ 10 to make a profit of $ 1000?A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 75 – 0.1D units (D is the demand or quantity sold per month and p is the price in dollars). The fixed cost is $1,000 per month and the variable cost is $30 per unit produced. Solve, a. What is the maximum profit per month related to thisproduct? b. What is the range of profitable demand during a month?