How many units of each product should the firm manufacture

Assignment Help Operation Management

Reference no: EM133613710

Quantitative Analysis for Management Decisions

Assignment:

A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem.

Foods   Protein units   Carbohydrates units   Fat units   Cost per unit
A   20   50   4   2
B   30   30   9   3
C   40   20   11   5
D   40   25   10   6
E   45   50   9   8
F   30   20   10   8

A local manufacturing firm produces four different metal products, each of which must be machined, polished and assembled. The specific time requirements (in hours) for each product are as follows:

     Machining, hours   Polishing, hours   Assembling, hours
Product I   3   1   2
Product II   2   1   1
Product III   2   2   2
Product IV   4   3   1

The firm has available to it on weekly basis, 480 hours of machining time, 400 hours of polishing time and 400 hours of assembling time. The unit profits on the product are Birr 360, Birr 240, Birr 360 and Birr 480, respectively. The firm has a contract with a distributor to provide 50 units of product I, and 100 units of any combination of products II and III each week. Through other customers the firm can sell each week as many units of products I, II and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Make a mathematical model for the given problem. Assume that any unfinished pieces can be finished the following week.

A firm manufactures two products; the net profit on product 1 is Rupees 3 per unit and Rupees 5 per unit on product 2. The manufacturing process is such that each product has to be processed in two departments D1 and D2. Each unit of product1 requires processing for 1 minute at D1 and 3 minutes at D2; each unit of product 2 requires processing for 2 minutes at D1 and 2 minutes at D2. Machine time available per day is 860 minutes at D1 and 1200 minutes at D2. How much of product 1 and 2 should be produced every day so that total profit is maximum. Make the mathematical model for the given problem.

Reference no: EM133613710

Questions Cloud

How many original correlations are present on the matrix : How many original correlations are present on the matrix? What is the mean and standard deviation for BMI and doctor visits?

Unlimited coverage for deposits normally beyond statutory : What banks (by size or any other critera) should be assessed to recover loss? FDIC decision to provide unlimited coverage for deposits normally beyond statutory

Free late checkout only applies for gold members : Which you are happy to apply, and the Free late checkout only applies for gold members. Explain the best solution (outcome) for this complaint?

Customer place of business to purchase : On the way he stops at convince store next to the customer's place of business to purchase lunch and when he leaves collides with a vehicle.

How many units of each product should the firm manufacture : Quantitative Analysis for Management Decisions - How much of product 1 and 2 should be produced every day so that total profit is maximum

Personal conversations to minimum : When on the telephone in the medical office, you should keep any personal conversations to a minimum.

Describe the components of the nursing theory : Describe the components of the nursing theory. Explain how you will incorporate this nursing theory into your nursing practice.

Increase revenue for both products : Starbucks' rationale for selling tea in addition to coffee was that selling both products in the same stores would increase revenue for both products.

What are some ways the adlerian approach can be applied : What are some ways the Adlerian approach can be applied to group counseling? What are some advantages of using a group format with this approach?

User Account

All Pages