Prescriptive Company is involved in the production of two products. The resources needed to produce are twofold, namely machine time for automatic processing and craftsman time for hand finishing. Product A needs 6 hours of machine time and 10 hours of craftsman time. Product B needs 9 hours of machine time and 4 hours of craftsman time. The company has 60 hours of machine time available and 40 hours of craftsman time daily. The revenue received for each item produced is $25 for product A and $32 for product B. How many of each item should be made daily to maximize profit? Solve this problem using graphical method
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Prescriptive Company is involved in the production of two products. The resources needed to produce are twofold, namely machine time for automatic processing and craftsman time for hand finishing. Product A needs 6 hours of machine time and 10 hours of craftsman time. Product B needs 9 hours of machine time and 4 hours of craftsman time. The company has 60 hours of machine time available and 40 hours of craftsman time daily. The revenue received for each item produced is $25 for product A and $32 for product B. How many of each item should be made daily to maximize profit?
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.A company makes two products (A and B). Each product requires time on two machines 1 and 2. the specifications for each product are as follows Product A Product B Processing time on machine 1 (hrs/unit) Processing time on machine 2 (hrs/unit) Material and labor cost (Sh./ unit) Selling price (Sh./ unit) Maximum possible sale (units) 2 1 2 14 15 16 18 130 150 The amount of time available on machine 1 is 360 hrs and on machine 2 is 260 hrs. Using simplex method determine the number of product A and B, which should be sold in order to maximize total contribution for the company.
- There is an upstream Picking department that feeds two downstream Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…A company produces motor cycle seats. The company has two production lines. The production rate for line one is 50 seats per hour and for line two it is 60 seats per hour. The company has entered into a contract to supply1200 seats daily to another company. Currently, the normal operation period for each line is 8 hours. The production manager 4 | P a g eof the company is trying to determine the best daily operation hours for the two lines. He sets the priorities to achieve his goals as given below:- P1: produce and deliver 1200 seats daily- P2: limit the daily overtime operation hours of line one to 3 hours- P3: Limit the daily overtime operation hours of line two to 4 hours Formulate the problem as a GP model and then solve it by using graphical methodRichard has been a highly regarded employee of the Brier Corporation for almost 20 years. Her loyalty to the company is reflected in her dedication to her job as general accounting clerk from which she has not taken a vacation in almost 12 years. Because of her dedication and long tenure, she has acquired many related responsibilities, which has allowed the Brier Corp to reduce its work force through attrition, control salary expenses and become more efficient and competitive. The following describes Richard’s responsibilities. Richard receives copies of credit sales orders from the sales department. From these documents she accesses the AR subsidiary ledger from her office computer and records the AR. She then records the sale in the sales journal and posts the transactions to the general ledger accounts. Cash receipts in payment of customer AR come directly to her office. She records the cash receipts in the GL cash and AR accounts and updates the AR subsidiary ledger. She then…
- Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. Question Why is the capacity design important?Design capacity is the ability of the company to produce the quantity of goods and services within a particular period of time when the company have best condition to produce and when the company have unlimited resources. These resource's includes- Men, Machinery, Material etc. It shows the maximum capacity of the company to produce. Effective capacity refers to the ability of the company to produce maximum quantity within a particular period of time to achieve in current production condition and current resources. It shows the real outcome capacity of the firm when the company produce within their own current condition of their production. In design capacity it is assume that the company will produce in best and ideal condition to produce goods and services while in Effective capacity it is assume that company will produce in current operating conditions. In design capacity it is assume that the company have unlimited resource's. It means these resource's include:- Men,…The sales forecast for a certain product being sold at P300/bundle is P25M/month. Each bundle has 100 packs with a weight of 30grams/pack. The product undergoes the following manufacturing processes: PROCESS CAPACITY/UNIT COST/UNIT EFFICIENCY Kneading 200kg/hr P800,000 85% Cutting 60kg/hr 600,000 90 Drying 500kg/hr 1,200,000 100 Seasoning 75kg/hr 100,000 100 Packaging 2,400packs/hr 250,000 95 If the company is operating at 25 days/month @ 24-hour operation, how much money is needed for the procurement of the machines? How many factory workers are needed in a 2-shift operation if kneading requires 2 operators, cutting - 2, drying - 1, seasoning - 1 and packaging - 3?
- A retail store sold in the month of April 5,000 products that produced $45,000 in sales. In the month of May the company sold 6,000 products. The store workforce consists of four full-time workers who work 40-hour week. In April the store also had seven part-time workers at 10 hours per week, and in May the store had nine part-timers at 15 hours per week (assume four weeks in each month). Using sales dollars as the measure of output (assume the price of the product was the same for both months), what is the percentage change in labor productivity from April to May? Answer: 2.An industrial engineer has designed two alternative methods for accomplishing a production job. Both methods involve the acquisition of the same working place and other capital equipment to be used for this job only. Method A calls for a crew consisting of three men each costing Php30/hr. This method will result in the production of 10 units per hour of which two will be reject. Method B calls for a crew of two men each costing Php35/hr and should result in the production of eight units per hour of which one will be reject. The cost of the direct material lost in each reject is Php20. If a certain total number of units is to be produced find which method is economical?Assuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold. What is a maximum-profit daily production plan for your company?