Both of these formulas were found on page 225 in Mathematics in Our World (Bluman, 2005). Problem #37 • This sequence is geometric • Ending balance is $814.45 STEPS/CALCULTATIONS YOU PERFORMED TO REACH THE ANSWER: To find the ending balance, the formula of An = a1(rn-1) will be used. The initial balance is $500, the interest is 5%, and the time span is 10 years. 5% will be listed as 1.05 as the initial balance is 100% plus 5% interest, so 105% is written 1.05. The number of terms is n=10, the first term is a1=525, the common ratio is r = 1.05.
Next is the number of pumps one employee can produce in one month. Which is, 771/25 (number of pumps for one employee a month, the company would need a total of 30.8 workers, or 31 (rounding up). After this information is gathered, these are the possible results: • We need to hire 11 more employees (there are now 20, and we need 31) • In the case reading, it is shown that there are up front cost of $1100 this is found the $100.00 hiring cost, multiplied by the 11 new employees. • Monthly production ----- 775 (31 workers x 25 pumps per worker) • The end of month inventory will be figured as 1 will be 225 >>>> this is the production of 775 (+) existing inventory of 50 = 825, then (-) the production of 600. Month 1 2 3 4 5 6 Demand 600 750 1000 850 750 700 Production 775 775 775 775 775
(TCO 3) As production occurs, materials, direct labor, and applied manufacturing overhead are recorded in (Points : 5) Question 4.4. (TCO 8) A company keeps 60 days of materials inventory on hand to avoid shutdowns due to materials shortages. Carrying costs average $5,000 per day. A competitor keeps 30 days of inventory on hand, and the competitor's carrying costs average $2,000 per day. The value-added costs are (Points : 5) Question
X2 = Number of EXCELLENT model produced during 8 hour shift. Max 42X1 + 87X2 ST X1 + X2 ≤ 480 3X1 + 6X2 ≤ 480 4X1 + 2X2 ≤ 480 X1 ≥ X2 3X1 + 6X2 ≤ 4X1 + 2X2 + 30 3X1 + 6X2 ≤ 4X1 + 2X2 – 30 X1, X2 ≥ 0 If the management limits the difference between Line 1 and Line 2 up to 30 minutes, it is recommended to produce about 96.667 (or 97) units of SUPER and 31.667 (or 32) units of EXCELLENT in order to maximize the total profit. Even it gives $65 reduction on initial profit, there will be more efficient balance on workload where time for Line 1 is fully utilized and on Line 2 there is only 30 minutes of unused time. (See attached print-out, table № 6) Question 6 Let X1 = Number of SUPER model produced during 8 hour shift. X2 = Number of EXCELLENT model produced during 8 hour shift.
A used machine with a purchase price of $77,000, requiring an overhaul costing $8,000, installation costs of $5,000, and special acquisition fees of $2,000, would have a cost basis of |a. |$92,000 | |b. |$91,000 | |c. |$87,000 | |d. |$86,000 | ANS: A 25.
(4 points) Problem 5: George Heinrich uses 1,500 per year of a certain subassembly that has an annual holding cost of $45 per unit. Each order placed costs George $150. He operates 300 days per year and has found that an order must be placed with his supplier 6 working days before he can expect to receive that order. For this subassembly, find: a) Economic order quantity. b) Annual holding cost.
The workstations would then be reduced from 8 down to 5. The production cycle from start to finish takes 46 minutes to complete all 8 tasks and produces 6 boots per hour. Assembly operates 40 hours per week. Information in Table 1 and Figure 1 provides time on task and what prerequisite, if any, is required to complete the task. Assembly Task | Completion Time in Minutes | Prerequisite | Assembly Task A | 10 Minutes | None | Assembly Task B | 6 Minutes | A | Assembly Task C | 3 Minutes | A | Assembly Task D | 8 Minutes | B, C | Assembly Task E | 3Minutes | D | Assembly Task F | 4 Minutes | D | Assembly Task G | 3 Minutes | E, F | Assembly Task H | 9 Minutes | G | Table 1.
The paper is worth 50 marks, there are two sections and you have 60 minutes. This means that you should be: • Spending 30 minutes on each section – roughly one minute per mark. • Leaving yourself at least 5-10 minutes to complete the final 6-mark question. Websites to help http://www.revisionworld.co.uk/gcse/geography/population (Population) http://www.bbc.co.uk/schools/gcsebitesize/geography/population/ (Population) Section 1 – The Human World – Population Change Things to know 1) Describe and explain the growth and distribution of global population. 2)
Chapter 24: Brief Exercise 24.6, page 1057 A popular product of Loring glassworks is a hand-decorated vase. The company’s standard cost system calls for .75 hours of direct labor per vase, at a standard wage rate of $8.25. During September, Loring produced 4,000 vases at an actual direct labor cost of $24,464 for 2,780 direct labor hours. What is the actual wage rate per hour? Compute the labor rate and efficiency variances for the month.
Using information given in question C, the $16,200 in new machinery will be divided up over 36 months. This additional cost will add $450 per month to Molly’s fixed costs, bringing her total to $2,150 monthly. With that given information, Molly would need to clean an additional 529 items a month to break even. The answer was derived by using the following equation: $2,150 ÷ (1.1 – $0.25) – 2000 = 529.412