Which capacity choice should the firm make
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- Estimate the cost of a 0.75 million gallon per day (MGD) induced-draft packed tower for air-stripping trihalomethanes from drinking water if the cost for a 2.9-MGD tower is $153,200. The exponent in the cost-capacity equation is 0.47. The cost of a 0.75 million gallon per day induced-draft packed tower is $* 00 Miles is considering buying a new pickup truck for his lawn service firm. The economy in town seems to be growing, and he is wondering whether he should opt for a subcompact, compact, or full-size pickup truck. The smaller truck would have better fuel economy, but would sacrifice capacity and some durability. A friend at the Bureau of Economic Research told him that there is a 30% chance of lower gas prices in his area this year, a 20% chance of higher gas prices, and a 50% chance that gas prices will stay roughly unchanged. Based on this information, Miles has developed a decision table that indicates the profit amount he would end up with after a year for each combination of truck and gas prices. States of Nature Lower gas Gas prices Higher gas Alternatives prices unchanged prices Subcompact 19,000 000 Compact OGOʻST 000 Full size 000'9 Probability 0.3 0.5 0.2 MacBook Air 000 000 DD F7 08 F4 F5 6 %24 ) 9 | K. D.A company has a factory that is designed so that it is most eficient (average unit cost is minimized) when producing 15,000 units of output each month. However, it has an absolute maximum output capability of 17,250 units per month, and can produce as little as 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 10,925 units in October, what is the capacity utilization rate in October for this factory?
- A company has a factory that is designed so that it is most efi cient (average unit cost is minimized) when producing 15,000 units of output each month. However, it has an absolute maximum output capability of 17,250 units per month, and can produce as little as 7,000 units per month without corporate headquarters shifting production to another plant. If the factory produces 10,925 units in October, what is the capacity utilization rate in October for this factory?Suppose we are considering the question of how much capacity to build in the face of uncertain demand. Assume that the cost is $20 per unit of lost sales due to insufficient capacity. Also assume that there is a cost of $7 for each unit of capacity built. The probability of various demand levels is as follows: Demand—X Units Probability of X 0 .05 1 .10 2 .15 3 .20 4 .20 5 .15 6 .10 7 .05 a. How many units of capacity should be built to minimize the total cost of providing capacity plus lost sales? b. State a…A company manufactures a product using two machine cells. Each cell has a design capacity of 250 units per day and an effective capacity of 230 units per day. At present, actual output averages 200 units per cell, but the manager estimates that productivity improvements soon will increase output to 225 units per day. Annual demand is currently 50,000 units. It is forecasted that within two years, annual demand will triple. How many cells should the company plan to produce to satisfy predicted demand under these conditions? Assume 240 workdays per year.
- A biotech firm is considering abandoning its old plant, built 23 years ago, andconstructing a new facility that has 50% more square footage. The original cost of the old facility was $300,000, and its capacity in terms of standardizedproduction units is 250,000 units per year. The capacity of the new laboratoryis to be 400,000 units per year. During the past 23 years, costs of laboratoryconstruction have risen by an average of 5% per year. If the cost-capacity factor, based on square footage, is 0.80, what is the estimated cost of the newlaboratory?An airline company must plan its fleet capacity and long-term schedule of aircraft usage. For one flight segment, the average number of customers per day is 70, which represents a 65 percent utilization rate of the equipment assigned to the flight segment. If demand is expected to increase to 84 customers for this flight segment in three years, and management requires a capacity cushion of 25 percent, calculate the following:- the planned capacity requirement. the maximum number of customers the flight segment can accommodate. the efficiency rate of the flight segment assuming that the current effective capacity of the flight segment is 93 customers.1: Suppose the company has identified the following three possible demand scenarios: Demand (Units per year) Probability 25,000 0.3 60,000 0.4 100,000 0.3 1. If the capacity is set at 80,000, how much of a capacity cushion is here? What is the capacity utilization? 2. What is the probability of idle capacity if the capacity is 80,000? 3. If it costs $25 per units lost business and $50 to build a unit of capacity, how much capacity should be built to minimize total cost?
- A firm plans to begin production of a new small appliance. The manager must decide whether to purchase the motors for the appliance from a vendor at $7 each or to produce them in-house. Either of two processes could be used for in-house production; Process A would have an annual fixed cost of $160,000 and a variable cost of $5 per unit, and Process B would have an annual fixed cost of $190,000 and a variable cost of $4 per unit. Determine the range of annual volume for which each of the alternatives would be best.An airline company must plan its fleet capacity and its long-term schedule of aircraft usage. For one flight segment, the average number of customers per day is 70, which represents a 65 percent utilization rate of the equipment assigned to the flight segment. If demand is expected to increase to 80 customers for this flight segment in three years, what capacity requirement should be planned? Assume that management deems that a capacity cushion of 15 percent is appropriate. The needed capacity requirement is enter your response here customers per day. (Enter your response rounded up to the next whole number.)An airline company must plan its fleet capacity and its long-term schedule of aircraft usage. For one flight segment, theaverage number of customers per day is 70, which represents a 65 percent utilization rate of the equipment assigned to theflight segment. If demand is expected to increase to 84 cus-tomers for this flight segment in three years, what capacityrequirement should be planned? Assume that managementdeems that a capacity cushion of 25 percent is appropriate