Knowee
Questions
Features
Study Tools

A firm produces three products P_{v}, P_{2} and P_{1} requiring the mixup of four materials M_{D}, M_{D}, M and M_{d} The matrix below gives the amount of material needed for each product: MA A=P 1 [ [[2, 3, 1, 12], [7, 9, 5, 20], [P_{3}, 0, 0, 0]] [ matrix 8&12&6&15 matrix ]. Using matrix notations, find (i) the total requirement of each material if the firm produces 70 units of P,, 120 units of P_{2} and 50 units of P (ii) the per unit cost of production of each product if the per unit costs of materials M_{1}, M_{2}, M_{3} and M * are 10, 12, 15 and 20 respectively, and (iii) the total cost of production.

Question

A firm produces three products P_{v}, P_{2} and P_{1} requiring the mixup of four materials M_{D}, M_{D}, M and M_{d} The matrix below gives the amount of material needed for each product: MA A=P 1 [ [[2, 3, 1, 12], [7, 9, 5, 20], [P_{3}, 0, 0, 0]] [ matrix 8&12&6&15 matrix ]. Using matrix notations, find (i) the total requirement of each material if the firm produces 70 units of P,, 120 units of P_{2} and 50 units of P (ii) the per unit cost of production of each product if the per unit costs of materials M_{1}, M_{2}, M_{3} and M * are 10, 12, 15 and 20 respectively, and (iii) the total cost of production.

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The question seems to be a bit jumbled, but I'll try to interpret it as best as I can.

First, let's assume the matrix A represents the amount of each material needed for each product. It looks like this:

A = [[2, 3, 1, 12], [7, 9, 5, 20], [P_{3}, 0, 0, 0]]

And let's assume the vector P represents the number of units produced for each product:

P = [70, 120, 50]

(i) To find the total requirement of each material, we multiply the matrix A by the vector P. This is done by multiplying each row of the matrix by the corresponding element in the vector and summing the results.

(ii) To find the per unit cost of production of each product, we multiply the cost of each material by the amount of that material used in each product. This gives us a new matrix C:

C = [[20, 36, 15, 240], [70, 108, 75, 400], [P_{3}*10, 0, 0, 0]]

The cost of each product is the sum of the elements in each row of this matrix.

(iii) The total cost of production is the sum of all the elements in the matrix C.

Please note that the value of P_{3} is not given in the question, so I couldn't calculate the exact numbers.

This problem has been solved

Similar Questions

Multiple Choice QuestionThe formula to determine the materials to be purchased isMultiple choice question.(units to produce divided by materials required for each unit) plus desired ending materials inventory minus beginning materials inventory(units to produce times materials required for each unit) minus desired ending materials inventory plus beginning materials inventory(units to produce times materials required for each unit) plus desired ending materials inventory minus beginning materials inventory(units to produce divided by materials required for each unit) minus desired ending materials inventory plus beginning materials inventory

A manufacturing company produces Product P, which has the following cost components per unit:Direct materials: $15Direct labor: $8Direct expenses: $5Variable production overhead: $6Variable selling expense: $7Fixed production overhead: $10Calculate the inventory valuations for Product P according to marginal costing and absorption costing.Question 2Answera.MC: $51 and AC: $44b.MC: $41 and AC: $44c.MC: $34 and AC: $44d.MC: $34 and AC: $51

A manufacturer produces two products A and B that are processed on two machines I and II before completion. Machine I can process either 25 units of product A or 10 units of product B per hour. Machine II can process 40 of product B or 20 units of product A per hour.Using matrices determine the following:(i) Monthly output of products A and B if machines I and II operate for 8 and 7 hours per day respectively in a 6-day working week with 4 weeks in a month.mission0000(ii) Per unit cost of production if the cost of operating per hour on two machines is 25,000 and 30,000 respectively.(iii) Total cost of production.

The following data relates to three products manufactured by BJS Ltd:PRODUCT X Y ZSelling price per unit ($) 12 16 14Direct Material cost per unit 3 10 7Maximum demand (units) 15,000 40,000 20,000Time required on the bottleneck(hours per unit) 3 1.5 7The firm has 80,000 bottleneck hours available each period.Total factory costs amount to $100,000 in the period.REQUIRED:a. Calculate the optimum product mix and the maximum profit.b. Calculate the throughput accounting ratio for each product

A company manufactures three products. The following information is obtained in respect of nextmonth’s budgeted production.product X product Y product Zcontribution per unit $7 $6 $8contribution per kilo $3 $4 $6kilos of material requiredfor production400 600 1000The company has been advised that only 1800 kilos of material will be available for productionnext month.What is the maximum contribution the company can earn?A $9000 B $9600 C $13 000 D $13 200

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.