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

Solve the following problem by using the inverse of the matrix involved.An automobile factory produces two models, A and B. Model A requires 1 labour hour to paintand 30 minutes of labour to polish; model B requires 1 labour hour for each process. Duringeach hour that the assembly line is operating, there are 100 labour hours available for paintingand 80 labour hours for polishing. How many of each model can be produced each hour if allthe labour hours available are to be utilised? Round your answers to the nearest whole number.

Ignoring your calculations in (A) and (B), compute:a. the manufacturing overhead allocation rate for each activity using ABC,b. the cost to produce one unit of each product line, andc. the profitability of per unit of each product line.

The table below summarizes the production rates of two machines for two products in a factory.Production rate for Product A(units per hour)Production Rate for Product B(units per hour)Machine 1 50 80Machine 2 50 20The cost per hour to operate machines 1 and 2 are Php 2500.00 and Php 1500.00 respectively.© 2020 Philippine Science High School System. All rights reserved. This document may contain proprietary information and may only bereleased to third parties with approval of management. Document is uncontrolled unless otherwise marked; uncontrolled documentsare not subject to update notification.*TA – time allocation suggested by the teacher Mathematics 2 |Page 4 of 6 **ATA – actual time allocation spent by the student (for information purposes only)If the production schedule requires at least 250 units of product A and at least 160 unitsproduct B be produced during each day, how long should each machine run to minimize operationcosts? (Sullivan, 2012, 929)

A company produces batches of 1,500 units. Each batch requires 60 machine hours. The overhead is applied at a rate of $30 per machine hour. If the direct materials cost $3,000 and the direct labor costs $2,700 per batch, what is the total cost of the batch and the cost per unit?Question 17Answera.Total cost: $7,500, Cost per unit: $5b.Total cost: $7,200, Cost per unit: $4.80c.Total cost: $6,000, Cost per unit: $4d.Total cost: $6,500, Cost per unit: $4.33