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 Innealtoir Company has three plants located in the Republic of Industrial Engineers, and each plant manufactures a single product line with four different product models. The total annual production budget of Innealtoir company for the year 2023 is 500,000,000 IE Euros. The currency of the Republic of Industrial Engineers is IE Euros.

                  The company has intensive marketing campaigns and is continuously innovating all the product lines in each plant. As a result, the company’s market share of their advanced smart phone products in the advanced smart phones industry is 45%, 55% market share of their smart television products in the smart television industry, a dominating market share of their laptop computer products in the laptop computers industry at 75% which is attributed to the company’s extensive R&D effort.

                 With the company's market share per product line, the management does not want to allocate in excess of 15% from the total annual production budget for the year 2023 for the product line that dominates the very least in its industry. The product line that dominates most in its industry must be allocated with no less than 55% of the total budget for the year. Further, it has been agreed that the total budget of plant 1 and 2 should not exceed 40% of the total budget for the year.

                  Plant 1, which is in the Province of Therblig, manufactures advanced smart phones. ASP Model 1, ASP Model 2, ASP Model 3 and ASP Model 4. ASP Model 1 sells 2,000 IE Euros per unit, while ASP Model 2, 3, and 4 sells 20%, 30% and 40% respectively than that of ASP Model 1. Each ASP Model 1 requires 3.5 hours to assemble, ASP Model 4 requires 2.5 hours while the other two require 3 hours each. There are 250 assembly workers working for 9 hours each day with 30 min break in the morning and another in the afternoon, and 1-hour break during lunch. Each worker works 22 days per month. All assembly workers in the plant are fully vaccinated and they do not plan to take any vacation leaves for the year 2023. The cost to manufacture product 2 is 1,500 IE Euros and product 1 costs 20% less than product 2 while products 3 and 4 is 30% more than product 1. The plant’s production budget is allocated to direct labor, direct materials and manufacturing overhead at 50%, 30% and 20% respectively of the product's manufacturing cost per model.

                 Plant 2, which is in the Province of Taylor, manufactures smart television. The customer’s acquisition cost per unit of STV Model 1 is 8,000 IE Euros, while ASP Model 3 and 4 is 25% and 18% than that of STV Model 1 while STV model 2 is at 5,000 IE Euros. Each model requires 4 hours to assemble, and there are 200 assembly workers working for 9 hours each day with 30 min break in the morning and another in the afternoon, and 1-hour break in the middle of the day for lunch. Each worker works 22 days per month. It has been noted by HR that 50% of the workforce will be expected to utilize their 15 days sick leave credits and 15 days’ vacation leave credits for the year. The cost to manufacture product 2 is 3,500 IE Euros and product 4 costs 10% less than product 2 while products 1 and 3 is 30% more than product 4. The plant’s production budget is allocated to direct labor, direct materials, and manufacturing overhead at 30%, 60% and 10% respectively of the product's manufacturing cost per model.

                 Plant 3, which is in the Province of Gantt, manufactures laptop computers. Each model costs 5,500 IE Euros. The production cost per model is the same for all since the company was able to negotiate to the chip supplier to offer the same price for all the types of chips installed in each model resulting into greater profitability for company. LC Model 1 ,2, 3, and 4 sells for 30%, 45%,50%, 60% more than its production cost. The company uses robots to assemble the computers to ensure high product quality and avoid any production defect. There are 120 robots in the plant and each robot assembles at a speed of .5 hour per model. The plant’s production budget is allocated to robot maintenance, direct materials, and manufacturing overhead at 30%, 55% and 15% respectively of the product’s manufacturing cost per model. Each robot is operational for 9 hours per day and the company operates 22 days in a month.

                 Each plant aims to maximize its investment returns by allocating the appropriate budget for each plant. The current company’s investment returns in plant 1 is 55%, plant 2 at 35% and plant 3 at 28%.

 

  1. How much is the budget for each product line to maximize investment returns? What do you recommend? (40 points).
  2. Are the conditions of the budget allocation satisfied? Prove your answer. (10 points.)
  3. Based on the calculated budget allocation per plant, how many product models should each plant manufacture to maximize:
    1. Gross Income (60 points)
    2. Net Income (60 points)
  4. Are there unused resources? If there is an excess, what is the reason for the excess? Justify your answer. (30 points)
  5. With your recommendations above, will the company utilize 100% of the production budget? What can you recommend further? (10 points)

 

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