A factory has a buffer with a capacity of 4 m3 for temporarily storing waste produced...

A factory has a buffer with a capacity of 4 m³ for temporarily storing waste produced by the factory. Each week the factory produces k m³ waste with a probability p_k, where p₀=1/8, p₁=1/2, p₂=1/4 and p₃=1/8. If the amount of waste produced in one week exceeds the remaining capacity of the buffer, the excess is specially removed at a cost of 30 per m³. At the end of each week there is a regular opportunity to remove the waste from the storage at a fixed cost of 25 and a variable cost of 5 per m³. The following policy is used. If at the end of the week the storage buffer contains more than 2 m³, the buffer is emptied; otherwise, no waste is removed. Determine the ling-run average cost per week. You need to define the states and the transition probability matrix well first.

Expert Solution

orchestra answered 1 year ago

A cylindrical container that has a capacity of 18 m3 is to be produced. The top...

A cylindrical container that has a capacity of 18 m3 is to be produced. The top and bottom of the container are to be made of a material that costs $25 per square meter, while the side of the container is to be made of a material costing $15 per square meter. Find the dimensions that will minimize the cost of the material. (Round your answers to three decimal places.)

Mohammed LLC Trading Company has produced 15,000 units which is 50% capacity level in the factory....

Mohammed LLC Trading Company has produced 15,000 units which is 50% capacity level in the factory. The company has used raw material to make the production worth of RO 65 per unit. The company has incurred direct labour cost at RO 32 per unit along with direct expenses RO 25 per unit. The company spent RO 150,000 on fixed expenses in the factory with per unit cost of RO 10. Other factor expenses for the total production of 15,000 units...

A company currently has a warehouse capacity of storing 5,000 pallets. Finished Goods occupy 1,700 of...

A company currently has a warehouse capacity of storing 5,000 pallets. Finished Goods occupy 1,700 of those pallet positions and the rest are occupied by work-in-process or component items. Only a maximum of 80% or 4,000 of those pallet positions (storage locations) can be used at any given time due to safety reasons. Due to a high volume of items requiring storage, there is a need for this business to rent additional off-site warehouse space and use it to store...

Thread Textiles has a factory on a local river. Much of its waste is dumped into...

Thread Textiles has a factory on a local river. Much of its waste is dumped into the river at no cost to the factory. Thread Textiles has monetary benefits from the waste dumping because there is no cost charged for this. At the same time, the dumping activities causes harm to fish and bird populations which in turn has a negative effect on local fishermen and bird watchers. For a cost to Thread Textiles, a filter can be applied which...

A factory disposes 1.1 m3/s of treated industrial wastewater into a river. The wastewater has an...

A factory disposes 1.1 m3/s of treated industrial wastewater into a river. The wastewater has an ultimate biochemical oxygen demand of 25 mg/L and dissolved oxygen of 2 mg/L. Just upstream of the wastewater outfall, the river has a flow rate of 10 m3/s, ultimate biochemical oxygen demand of 6 mg/L, and oxygen deficit of 2 mg/L. At the river temperature, the saturation concentration of dissolved oxygen is 9 mg/L. The deoxygenation coefficient is 0.19 d-1 and reaeration coefficient is...

A facility has a waste storage tank with a capacity of 40 cubic feet. Each week...

A facility has a waste storage tank with a capacity of 40 cubic feet. Each week the tank produces either 0, 10, 20, or 30 cubic feet of waste with respective probabilities of 0.1, 0.4, 0.3, and 0.2. If the amount of waste produced in a week creates a situation where the tank would overflow, the amount exceeding the tank’s capacity can be removed at a cost of $3 per cubic foot. At the end of each week, a contracted...

A factory has produced a total of 32,000 cellphone cases. There are 3 scenarios for their...

A factory has produced a total of 32,000 cellphone cases. There are 3 scenarios for their demand and another 3 for their unit sale price as shown below. Remaining (unsold) units have to be heavily discounted making a profit of only $2.30 each. Determine the probability that they will make a total profit larger than $300,000. Units sold # Probability for units sold Profit $/unit Probability for profit $/unit 10,000 0.20 13.50 0.15 15,000 0.45 19.50 0.55 20,000 0.35 28.50...

1. if a buffer has a 4 charge and it is involved in removing two hydrogen...

1. if a buffer has a 4 charge and it is involved in removing two hydrogen ions from a solution, the buffers charge will become: 2. How many times more basic is a solution with a pH of 9 compared to a solution with a pH of 2? 3. What is the term used when describing an electrolyte becoming individual ions?

Johnson Corporation has an expected monthly capacity of 9,000 units but only 5,700 units were produced...

Johnson Corporation has an expected monthly capacity of 9,000 units but only 5,700 units were produced and 6,000 direct labor hours were used during August due to Covid-19. The actual variable overhead for August was $48,165, and the actual fixed overhead was $140,220. Standard cost data follow: Standard cost per unit (One unit Takes one Labor Hour) Direct materials $9.00 Direct labor 15.00 Variable overhead 8.00 Fixed overhead 16.00 Total $48.00 1) What is the Variable Manufacturing Overhead Spending Variance?...

Big Dave’s Bowling Ball Factory has the following financial information: Month Units Produced Manufacturing Costs (in$)...

Big Dave’s Bowling Ball Factory has the following financial information: Month Units Produced Manufacturing Costs (in$) July 648 1,748 August 653 1,770 September 652 1,758 October 650 1,755 November 700 1,800 December 660 1,780 January 550 1,500 February 600 1,600 March 647 1,750 April 653 1,760 May 652 1,740 June 655 1,769 Total 7,720 20,730 There were no beginning or ending inventories. The selling cost is $3/unit. Required: A. Using the High-Low method Calculate the total cost formula in the...

Question