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 andp 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 our answers graphically.
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- A factory manager is planning for the manufacture of plywood to be sold overseas. The fixed cost of operation is estimated at $800,000 per month while the variable cost is $155 per thousand board feet of plywood. The selling price will depend on how much will be produced and sold and is determined by the relationship, price per thousand board feet, p = $600 – 0.05D, where D is the amount produced and sold in thousands of board feet. Determine the monthly production that will maximize the total profit and corresponsding price. Dettermine also the corresponding maximum profit per month. A) For maximum profit, (to the nearest unit) thousands of board feet per month must be produced and sold at per thousand board feet of plywood.(Round to the nearest cent.) B) The maximum profit per month is equal to $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 = 79 – 0.11D units. The fixed cost is $800 per month and the variable cost $32 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?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.
- The fixed cost for a steam line per meter of pipe is $450X + $50 per year. Thecost for loss of heat from the pipe per meter is $4.8/X1/2 per year. Here, Xrepresents the thickness of insulation in meters, and X is a continuous designvariable. Solve, a. What is the optimum thickness of the insulation? b. How do you know that your answer in Part (a) minimizes total cost per year? c. What is the basic trade-off being made in this problem?Kal Tech Engineering Inc manufactures video games. Variable costs are estimated to be $20 per unit and fixed costs are $10,875. The demand-price relationship for this product is Q = 1,000 - 4P where "P” is the unit sales price of the game and “Q” is the demand in number of units. The breakeven quantity/quantities is/are: Group of answer choices 50 370 and 870 100 370 870 50 and 870 100 and 870Two new rides are being compared by a local amusement park in terms of their annual operating costs. The two rides would generate the same level of revenue (thus the focus on costs). The Tummy Tugger has fixed costs of $10,000 per year and variable costs of $2.50 per visitor. The Head Buzzer has fixed costs of $4000 per year and variable costs of $4 per visitor. (a) Mathematically find the number of visitors per year for the two rides to have equal annual costs. (b) Develop a breakeven graph to show: • Accurate total cost lines for the two alternatives (show line, slopes, and equations). • The breakeven point for the two rides in terms of number of visitors. • The ranges of visitors per year where each alternative is preferred.
- A manufacturer sells belts for $11 per unit. The fixed costs are $1800 per month, and the variable cost per unit is $8.all average cost can be calculated by deriving the per unit cost. True or FalseA factory manager is planning for the manufacture of plywood to be sold overseas. The fixed cost of operation is estimated at $800,000 per month while the variable cost is $155 per thousand board feet of plywood. The selling price will depend on how much will be produced and sold and is determined by the relationship, price per thousand board feet, p = $600 – 0.05D, where D is the amount produced and sold in thousands of board feet. Determine the range of profitable production. For profitable production, production must be at least thousands of board feet per month, but not more than (Round to the nearest unit.)
- I need a correct answer for the p-valueAn architect-engineering firm is planning a parking lot to accommodate 500 vehicles. Each parking space will be 8.5 feet × 15 feet. It has been estimated that the space required for aisles will be 80% of the space required for parking. A local paving company charges $10 per square foot for paving and a flat fee of $12,000 for marking and painting the individual parking spaces. Based on this information, what is the estimated cost of paving and marking this parking lot?How many books will a publisher have to sell to breakeven if fixed costs are $100,000, the selling price perbook is $60, and the variable costs per book are $40?