A medium sized scale company manufactures a certain product with an estimated variable costs, per unit, v 36Q- 14400 and an aggregated fixed costs of $81000. The price-quantity demand relationship for this product is P=-0.27Q+270, where P is the unit sales price of the product and Q is the annual quantity demand. • Total cost=Fixed cost+ Variable cost • Revenue Quantity Demand x Price •Profit = Revenue - Total cost %3D a) Develop the equations for total cost and total revenue. b) Find the breakeven quantity. c) What profit is earned ifi) total cost is minimized and ii) total revenue is maximized?
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- A herbal tea producer company has 24 different products in the market, each are produced in one of the 3 factories owned by the company. The weights of the products in monthly sales may vary depending on time of the year (demands of certain products shift to others in each of the 4 seasons), age of the products and market conditions, but yearly aggregate demand has a very strong correlation with the price of the product (Here, we ignore any other factor and assume that the yearly aggregate demand is directly and linearly effected by the price). The company found out that when the price for a packet of 20 herbal tea bags is 10 TL, yearly demand is 337500 packets. When the price increases to 11 TL, demand decreases to 337125 packets. On the cost side, the company has 1200000 TL of yearly administrative costs regardless of the price or the number of units sold, including the rents, depreciation of the buildings and other related assets and salaries of 58 workers (average monthly salary…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 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?
- Many times, the selling price of a product, p, is related to the demand, D, according to the relationship p=a-bD. However, a company has found that the price of their product can be related to demand ( in units per year) according to the following equation: p= $88.5 – (0.5)D0.5 . In addition, there is a fixed cost of $20,000 per year and the variable cost to manufacture the product is $20 per unit. a. What level of demand maximizes total revenue and the maximum revenue? b. What level of demand maximizes total profit for this product and the maximum profit?The Rocky Mountain Publishing Company isconsidering introducing a new morning newspaper inDenver. Its direct competitor charges $0.25 at retailwith $0.05 going to the retailer. For the level of newscoverage the company desires, it determines the fixedcost of editors, reporters, rent, pressroom expenses,and wire-service charges to be $300,000 per month.The variable cost of ink and paper is $0.10 per copy,but advertising revenues of $0.05 per paper will begenerated. To print the morning paper, the publisherhas to purchase a new printing press, which will cost$600,000. The press machine will be depreciatedaccording to a seven-year MACRS class. The pressmachine will be used for 10 years, at which time itssalvage value would be about $100,000. Assume 300issues per year, a 40% tax rate, and a 13% MARR.How many copies per day must be sold to break evenat a retail selling price of $0.25 per paper?Zhao Co. has fixed costs of $378,200. Its single product sells for $179 per units, and variable costs are $118 per unit. Compute the level of sales in units needed to produce a target (pre-tax) income of $122,000.
- A process plant making 5000 kg/day of a product selling for $1.75/kg has annual variable production cost of $2M at 100 % capacity and fixed costs of $700,000. What is the fixed cost per kg at the break even point ? If the selling price of the product is increased by 10%, what is the dollar increase in net profit at full capacity if the income tax rate is 35% of the gross earnings?The estimated daily demand for river corssings on a proposed new bridge is: Qd = 100,000 - 20,000P where Qd is the quantity demanded measured in number of daily crossings and P is the price(toll) per crossing in dollars. Engineers estimate that constructing the new bridge will result in a fixed cost of $1.2 billion or $120,000 per day over the life of the bridge. Once constructed, there are no marginal costs and variable costs associated with the bridge's use. Based upon the above information, answer the following questions: a. If a private company were to build the bridge, what would be the profit-maximizing number of daily crossings? b. What price per crossing(toll) would the profit-maximizing company establish? c. What would be the socially optimal number of daily crossings? d. What deadweight loss would exist given your answers to part (a) and (b)? e. Would a profit-maximizing company build the bridge?Western Processors Ltd manufactures and distributes a wide range of consumer products from itslocation in Kingston Jamaica. The firm imports raw materials from North and South America andexports its products to several international markets. The firm also has a high market share locallyand in its overseas markets for its wide range of high and low-value products. Management of thecompany believes that the company could significantly improve both distribution andenvironmental impact from transportation by investigating the possibility of using various modesof transportation for its various consumer products. Required:A. The company designs its transportation network so that a Distribution Centre servesseveral large customers in its local and international markets. Outline how the companycan use such a network to reduce transportation costs while replenishing inventory morefrequently.
- Suppose ADJ Corporation's break-even sales volume is $450,000 with fixedcosts of $200.000.(a) Compute the contribution margin percentage.(b) Compute the selling price if the variable costs are $ 12 per unit.You are hired as a consultant at a revenue management firm and one of ourrecent clients wished to determine the optimum price for their consumer electronics product.The cost of the product is $100 and before retaining us, they had been selling the product at$200 because it felt like a nice round number. The current sales volume is 1000 units peryear. We examined the market preferences and buying behavior, and concluded that thiscompany’s marketplace has a price elasticity of 1 (i.e. Assume that an x% change in pricewill result in an x% change in sales volume for any x). What is the optimal price thatmaximizes total profit for this company? What are the sales volume, total revenue and totalprofit at the optimal price?Q5) A firm is planning to manufacture a new product. The sales department estimates that the quantity that can be sold depends on the selling price. As the selling price is increased, the quantity that can be sold decreases. Numerically they estimate: P = $35.00 - 0.02Q where P =selling price per unit Q = quantity sold per year On the other hand, the management estimates that the average cost of manufacturing and selling the product will decrease as the quantity sold increases. They estimate C = $4.00Q + $8000 where C = cost to produce and sell Q per year The firm's management wishes to produce and sell the product at the rate that will maximize profit, that is, where income minus cost will be a maximum. What quantity should the decision makers plan to produce and sell each year?