A manufacturing firm maintains one assembly line to produce signal generators. Weekly demand for the generators is 35 units, and the line operates for 7 h/d, 5 d/wk. What is the maximum production time per unit required of the line in order to meet demand?
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- Carlota Music Company estimates that the marginal cost of manufacturing its Professional Series guitars is C ′ (x) = 0.02x + 100 dollars/month when the level of production is x guitars/month. The fixed costs incurred by Carlota are $4000/month. Find the total monthly cost incurred by Carlota in manufacturing x guitars/month.A manufacturer sells a product at $9.45 per unit, selling all produced. The fixed cost is $2325 and the variable cost is $8.20 per unit. At what level of production will there be a profit of $5000? At what level of production will there be a loss of $1550? At what level of production will the break-even point occur? There will be a profit of $5000 when the production level is units.Electricity is sold for $0.12 per kilowatt-hour (kWh) for the first 10,000 units each month and $0.09/kWh for all remaining units. If a firm uses 14,000kWh/month what is its average and marginal cost?
- Given = TC = f(q) = 0.3q2 -105q + 120,000 What volume should be produced for minimum cost? What is the minimum cost?Ima Neworker requires 43 minutes to produce her first unit of output. If her learning curve rate is 76%, how many units will be produced before the output rate exceeds 5 units per hour?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 small company manufactures a certain product. Variable cost are $20 per unit and fixed cost are $10,875. The price-demand relationship of this product is P = -0.25D + 2550, where P is the unit sales price of the product and D is the annual demand. Find the Total Cost, Total Revenue and Profit.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 = 77 – 0.12D units. The fixed cost is $800 per month and the variable cost $25 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit.
- A 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?Suppose a company has fixed costs of $600 and variable costs per unit of x + 1130 dollars, where x is the total number of units produced. Suppose further that the selling price of its ²x product is 1200 - 1x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 10,60 (b) Find the maximum revenue. $ 2880000 (c) Form the profit function P(x) from the cost and revenue functions. P(x) = 1200x - 31²) - (600 + 1² +1130x) Find the maximum profit. $ 625 (d) What price will maximize the profit? (Round your answer to the nearest cent.) $ 35 XA large wood products company is negotiating a contract to sell plywood overseas. The fixed cost that can be allocated to the production of plywood is $800,000 per month. The variable cost per thousand board feet is $155.50. The price charged will be determined by p=$600−(0.05)D per 1,000 board feet. a. For this situation, determine the optimal monthly sales volume for this product and calculate the profit (or loss) at the optimal volume. b. What is the domain of profitable demand during a month?