Q / The National Dairy Company produces two types of milk (type A and type B),...

Q / The National Dairy Company produces two types of milk (type A and type B), each type needs three operations to complete its production (sterilization and packaging) required to design an engineering problem and complete the formulation of the question and the problem so that it includes all the required information:
1- Determine the time of manufacturing the type A product for the three manufacturing processes (sterilization, packing and packaging) so that the manufacturing time for this product is not less than 4 and not more than 13 minutes.
2- Determine the time of manufacturing the Type B product for the three manufacturing processes (sterilization, packing and packaging) so that the manufacturing time for this product is not less than 3 and not more than 11 minutes.
3- Determine the single profit unit for product A and B, not less than 7 and not more than 14 dinars.
4- Determine the production times for the three operations, not less than 600 and not more than 2000 minutes.
5- Formulating a linear programming model that represents this production problem.
6- Finding the number of panels produced from both products in order to achieve the largest possible profit using the graph method.
7- Assume that the production engineer has set the time of production for the first process (sterilization) of Product B by 1 minute, what effect this decision has on the quantity of units produced for both types and its effect on profit, and illustrate this with numbers and drawing.
8- Compare the results obtained in paragraphs 6 and 7.
9- Writing a discussion of the results and recommendations for achieving the largest profit and increasing the quantities of products.

Please, please solve this problem, please

Expert Solution

samet mamat answered 1 year ago

A dairy company gets milk from two dairies and then blends the milk to get the...

A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs $2.40per gallon, and milk from dairy II costs $0.80per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9 % butterfat, and dairy II can supply at most 90 gallons averaging 2.9 % butterfat. a. How much milk from each supplier should the company buy to...

Oberweis is a dairy company based out of Chicago. Oberweis produces milk at a fixed rate...

Oberweis is a dairy company based out of Chicago. Oberweis produces milk at a fixed rate of 6,000 gallons/hour. Oberweis serves clients who, in total, request 100,000 gallons of milk per day. Clients send trucks to pick up their orders, and trucks arrive uniformly from 8am to 6pm. If Oberweis runs out of milk, trucks will wait until enough is produced to satisfy their client’s requests. Per Oberweis policy, the company begins and ends each day with 24,000 gallons in...

A furniture manufacturer produces two types of display cabinets Type A and Type B Each month...

A furniture manufacturer produces two types of display cabinets Type A and Type B Each month x of type A and y of type B are produced. Profit on type A is 300SR and profit on type B is 150SR. The following constraints control monthly production : (i) Not more than 50 display cabinets of type A and 40 display cabinets of type B can be made (ii) To show a profit at least 60 display cabinets in all must...

transport company has two types of trucks, Type A and Type B. Type A has a...

transport company has two types of trucks, Type A and Type B. Type A has a refrigerated capacity of 20 m3 and a non-refrigerated capacity of 40 m3 while Type B has the same overall volume with equal sections for refrigerated and non-refrigerated stock. A grocer needs to hire trucks for the transport of 3,000 m3 of refrigerated stock and 4,000 m3 of non-refrigerated stock. The cost per kilometer of Type A is $30, and $40 for Type B. How...

A Company produces and sells two types of smart phones. The price of Type-1 and Type...

A Company produces and sells two types of smart phones. The price of Type-1 and Type –II smart phone assigned by Hamza is Rs. 120,000 per unit and 135,000 respectively. Variable cost for producing type-I phone is Rs. 150,000 and type –II is Rs. 300,000. Suppose there is Rs. 500,000 fixed cost.1. Formulate revenue and cost function for type-I and type-II smart phone jointly.2. Formulate total profit function3. What will be the total profit if Hamza produces and sells 500...

Spotted Cow Dairy Company manufactures three products—whole milk, skim milk, and cream—in two production departments, Blending...

Spotted Cow Dairy Company manufactures three products—whole milk, skim milk, and cream—in two production departments, Blending and Packing. The factory overhead for Spotted Cow Dairy is $226,200. The three products consume both machine hours and direct labor hours in the two production departments as follows: Direct Labor Hours Machine Hours Blending Department Whole milk 250 740 Skim milk 270 670 Cream 210 270 730 1,680 Packing Department Whole milk 330 460 Skim milk 530 570 Cream 150 190 1,010 1,220...

The company Apple produces 2 types of plastic containers, type A and B. The products have...

The company Apple produces 2 types of plastic containers, type A and B. The products have following expenses on labor and material Container A Container B Direct material per 100 containers Plastic X ($0.2 per kg) 30 kg 70 kg Plastic Y ($0.1 per kg) 20 kg 30 kg Direct labour per 100 containers (12$ per hour) 0.25 hour 0.5 hour The following overheads are planned for the next period. The predetermined rate is based on production volume of 495,000...

The company produces 2 types of plastic containers, type A and B. The products have following...

The company produces 2 types of plastic containers, type A and B. The products have following expenses on labor and material Container A Container B Direct material per 100 containers Plastic X ($0.2 per kg) 30 kg 70 kg Plastic Y ($0.1 per kg) 20 kg 30 kg Direct labour per 100 containers (12$ per hour). 0.25 hour 0.5 hour The following overheads are planned for the next period. The predetermined rate is based on production volume of...

A company sells two types of life insurance policies (P and Q) and one type of...

A company sells two types of life insurance policies (P and Q) and one type of health insurance policy. A survey of potential customers revealed the following: i) No survey participant wanted to purchase both life policies. ii) Twice as many survey participants wanted to purchase life policy P as life policy Q. iii) 45% of survey participants wanted to purchase the health policy. iv) 18% of survey participants wanted to purchase only the health policy. v) The event that...

A textile company produces two types of materials A and B. The material A is produced...

A textile company produces two types of materials A and B. The material A is produced according to direct orders from furniture manufacturers. The material B is distributed to retail fabric stores. The average production rates for the material A and B are identical at 1,000 meters/hour. By running two shifts the operational capacity of the plant is 80 hours per week. The marketing department reports that the maximum estimated sales for the following week is 70,000 meters of material...

Question