An exporter of handbags has just entered a new market. This exporter faces the following relationship between the price of handbags and the demand for them: 4,800 3,000 P=5+ D -, D>0 D2 where P is the price per unit and D is the demand per month. The exporter wants to maximize his profit. The fixed cost is P2,000 per month and the variable cost P35 per unit. How many handbags should be produced and sold each month, in order to maximize profit?
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- PUP 48,213 UST 40,000 FEU 27,889 LRT2 200,000 passengers daily If 60% of PUP, 30% of UST, and 85% of FEU students take LRT2 daily and pays an average fare of Php25 per day… What is the total annual market size (revenue) of LRT2? What is the total annual market size (revenue) of the 3 schools? If operations is halted for 1 week, what is the projected loss in revenues? What is the market share (volume) of: PUP students? UST students? Feu students?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. 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?
- 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 = 150 − 0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 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 6,000 units per year.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?EXAMPLE 18.3 Micro Pizza Heater: Market Demand A factory renovation is needed to build a compact microwave with a new shape, which will be called the Micro Pizza Heater. The low sales-volume prediction (20,000 heaters per year) has a subjectively estimated probability of 30%. The most likely market prediction is 30,000 units sold per year. The optimistic market prediction (30,000 sold the first year, with annual increases of 5000) has a subjectively estimated probability of 10%. In all cases, the factory equipment and the market will last 5 years. The net revenue will be $10 per microwave. What is the probability distribution for the net revenue?
- A firm has an annual demand of S units for a good whose purchase cost is £c per unit. Each order costs £a to place, and the cost of holding stock is b% of the average value of stock per annum. Determine the optimal order quantity. A local firm uses 2000 units of a particular component each year. The component has a purchase price of £4/unit, while the cost of holding stock is estimated at 20% of the average stock value. If the cost of placing each order is £12.50, find the optimal number of orders placed each year. Suppose the component supplier offers a discount of 2% on the purchase price if orders are placed in units of 1000. Is the discount worth accepting? Suppose that instead of a single figure you had been given a probability distribution for the number of units used each year. Indicate the effect on stock policy.. Please explain fully , the last part is also important to solve.A small countertop installing company hires you to estimate their customers weekly demand function for marble (per sq ft). The demand function is as follows: Qm=5000-30Pm +20Pg + 0.05Inc m=marble, g= granite, inc = avg disposable income for home improvements in the surrounding area. Current prices: marble = 40, granite = 25 and disposible income = 5000 Suppose during the supply change shortage the price of marble triples to $120 Determine the elasticity of demand at the new market price for marbleA 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?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 = 150−0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year? What is the unit price at this point of optimal demand?Your current prices are $311 in the southwestern region, $278 in the western region and $240 in the New England region. Your marginal cost is now $212.21. Given the predicted changes in the quantity demanded by region per problem 1 and using the stay even analysis %ΔQd = %ΔP/[%ΔP + ((P-MC)/P)], can you raise the price by 7% in any of the regional markets?