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The break-even revenues would be as follows if real sales are $50,000, variable costs are $15,000, and margin of safety is $20,000:
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- Coors Company expects sales of $504,000 (5,600 units at $90 per unit). The company's total fixed costs are $138,000 and its variable costs are $60 per unit. Compute (a) break-even in units and (b) the margin of safety in dollars. (a) Break-even point in units (b) Margin of safetyA 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.A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?
- In a firm which manufactures wooden tables, it is estimated that its total revenue function is as follows: TR = 165Q – 5Q². Also, variable costs are estimated to be £5.00 per unit (Q) and the fixed costs will be £300 per week. a. Using breakeven analysis, derive the cost and profit functions. b. Calculate the maximum profit that can be obtained, stating the number of sales units and the selling price necessary to achieve this profit. c. Graph the profit function. Clearly indicate the roots and a maximum/minimum point where appropriate.You get a discount on items when you order 500. The price of the item is $10 if you order less than 100 and $9 if you order 100 or more. The holding cost of the item is $2 per year. The setup cost is $20. The demand for the item is 2000 per year. Compute the optimal EOQ.A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?
- A small firm intends to increase the capacity of a bottleneck operation by adding a new machine. Two alternatives, A and B, have been identified, and the associated costs and revenues have been estimated. Annual fixed costs would be $36,000 for A and $31,000 for B; variable costs per unit would be $7 for A and $11 for B; and revenue per unit would be $17. a. Determine each alternative's break-even point in units. (Round your answer to the nearest whole amount.) аВЕР,А units ОВЕРВ units b. At what volume of output would the two alternatives yield the same profit (or loss)? (Round your answer to the nearest whole amount.) Q units c. If expected annual demand is 14,000 units, which alternative would yield the higher profit (or the lower loss)? Higher profitIf company A manufactures t-shirts and sells them to retailers for US$9.80 each It has fixed costs of $2625 related to the production of the t-shirts, and the production cost per unit is US$2.30. Company B also manufactures t-shirts and sell them directly to consumers. The demand for its product is p = 15 − x/125 ,its production cost per unit is US$5.00 and its fixed cost are the same as for company A. Derive the total revenue function, R(x) for company. Derive the profit function, Π(x) for company. How many t-shirts must company B sell to in order to break-even? How many t-shirts must company B sell to maximize its profit?A company manufactures screwdrivers and has fixed costs of SEK 3,400,000 and variable costs per screwdriver of SEK 6. These costs are not assumed to change with varying production volumes. According to company policy, the sales price is set at double the purchase price.The company's production capacity for screwdrivers is 900,000, but the target for production is for various strategic reasons set at a utilization rate of 70%. Calculate the company's safety margin in SEK, when the utilization rate has been reached and all produced screwdrivers have been sold.
- The bookstore at Tech purchases jackets emblazoned with the school name and logo from a vendor. The vendor sells the jackets to the store for $38 apiece. The cost to the bookstore for placing an order is $120, and the annual carrying cost is 25% of the cost of a jacket. The bookstore manager estimates that 1700 jackets will be sold during the year. The vendor has offered the bookstore the following volume discount schedule: Order Size 1–299 Discount 0% 300–499 2% 500–799 4% 800+ 5%Furniture, Inc., sells lamps for $30. The unit variable cost per lamp is $22. Fixed costs total $9,600. A) What is the contribution margin per lamp? B)What is the breakeven point in lamps? C) How many lamps must be sold to earn a pretax income of $8,000? D)What is the margin of safety, assuming 1,500 lamps are sold?A drywall company in Alberta manufactures dry-wall panels for modular construction companies. Variable costs are $20 per unit and fixed costs are $10,875. the price-demand relationship for the panels is: P = -0.25D + 250 where P is the unit sales price of the drywall panels and D is the annual demand. Knowing that Revenue = Demand X Price Profit = Revenue – Total Cost What profit would the company obtain by maximizing its total revenue if the total -0.25x^2+$250x? Select one: a. $550 b. $650 c. None d. $500