c. What would be the effect on the optimal solution if the cost of operating mill 1 increased from $6,000 to $7,500 per day? d. What would be the effect on the optimal solution obtained in part c, if the company could supply only 10 tons of high-grade aluminum? e. In the original model (the one you formulated in part a): what is the shadow price for each of the three aluminum grades? f. In the original model: what is the sensitivity range for the objective function coefficients? Question 2 (16 points) Gilbert Moss and Angela Pasaic spent several summers during their college years working at archeological sites.
What is the cost if the repairman works for 45 minutes?50$ Reason is : Because it lies between the range 0 to 60, under this function it returns the value 50 b. What is the cost if the repairman works for 105 minutes? f(x)= 4/3*105-30 = 4*35-30 = 140-30=110$ c. What is the computer repairman’s rate policy? Explain in real terms. same rate if the repair man works between the range 0 to 60 including 0 and 60 both, function return the value 50 $ If the repair man works more than 60 minutes , function return the value by f(x)=4/3x-30 Linear Functions and Slope: 4.
This provides the company with the information that in order to reach the 2,400 million dollars in sales the set advertising budget must be set at 162 million dollars. With this in mind based on the figures in order to reach the expected sales the company would have to produce an average of 47 million units per quarter. To determine the fluctuations in the market a 2-period weighed moving average model is used with a weight of 0.9 representing the most recent view and 0.1 in the previous view. The data range for this calculation consists of a six-year period in order to reduce the occurrence of obsolete trends and violations that no longer apply to the market. Predictions: Quarter Sales in millions Units in millions Current Forecast of Units in millions 1 512
This process takes 0.16 hour for a batch of 100 larger tiles and 0.20 hour for a batch of 100 smaller tiles. Forty hours are available each week for the glazing process. Each batch of 100 large tiles requires 32.8 pounds of the clay derivative to produce,
In order to find an approximate result, it can be completed by the function F (x) = x/18 for 0 < x < 6 Therefore, the distribution function is F (x) = x-square divided by 36 for 0 < x < 6 If we set this equal to another random number r1 that is between 0 and then R1 = x-square divided by 36 which results to x = 6√ r1 3. In Excel, use a suitable method for simulating the lost revenue for each day the copier is out of service. Because the amount of copies sold each day is a uniform probability distribution between 2000 to 8000 copies, I designated r3 as a random number between 2000 to 8000. In order to find the amount of business lost on a certain day, I took r3 X (repair time), and the lost revenue
Stamping: Time to complete a batch = 120 minutes/batch setup for part A + 360 pieces/batch x (1 minutes/unit of A) + 120 minute/batch setup for part B + 720 pieces/batch x (0.5 minute/unit of B) = 960 minutes = 2 days Therefore, daily capacity = 360 / 2 days = 180 units/day. Painting: Time to complete a batch = 20 minute/batch setup + 360 pieces x (0.5 minute/unit of A) + 720 pieces ( 1/6 minute/unit of B) = 320 minutes = 0.667 days. There paint capacity = 360 product units/0.667 days = 540 product units/day Assembly: Since assembly is labor paced, we must compare the labor content needed to make one finished unit against the total number of labour hours available per day. Labour content per day = 27 minute /product Total labour available per day = 12 workers x 60 minutes/hr x 8 hours/day Daily capacity = 5760 minutes/ (27 minute/finished unit) = 213 units of finished product/day Hence the bottleneck is at the stamping since it has the least capacity. Therefore, the total system can’t produce more than 180 finished units/day.
GSCM-206: Managing Supply Operations Angela M. Meeks Inventory Control at Wheeled Coach Week 6 Case Study June 14, 2015 Dr. Albert Lapierre Inventory Control at Wheeled Coach Q1: Explain how Wheeled Coach implemented ABC analysis Wheeled Coach Implements ABC analysis through categorization by identifying and classifying different items within their inventory based on annual dollar amounts. For example, they classify the high-dollar amounts items as being A. The A category, represents some 15% of the total inventory, but only 70%-80% of the total cost. The B category, represents those items that are mid-level or medium value which represents 30% of the items and 12%-25% of the value. The C category, the low dollar items, which represents 5% of the annual dollar volume, but only about 55% of the total items.
In order to avoid the use of overtime and to keep her employees fresh, Joan decided to have employees work four ten hour shifts each week. She insists that every employee must have three consecutive days off. The work week begins on Monday and ends on Sunday. The manufacturing process requires a minimum of 20 employees. (Reid & Sanders, 2010) Answer 1: Develop a staffing plan for RWBFC in accordance with the constraints stated in the case.
Its cost was $12,000, it has a ten-year life, and straight-line depreciation will be taken. SOLUTION: 1. Factory Overhead Cost Budget Percent of normal capacity 80% 90% 110% Number of units 4,000 4,500 5,500 Number of standard direct labor hours 16,000 18,000 22,000 Budgeted factory overhead: Fixed cost: Depreciation on building and machinery $ 1,200 $ 1,200 $ 1,200 Taxes on building and machinery 500 500 500 Insurance on building and machinery 500 500 500 Superintendent’s salary 1,500 1,500 1,500
The equal probability of the copier breaking down before or after is the average time between breakdowns. So z^2/36 = 1/2. Solving gives z = 4.243 weeks. The uniform distribution for the number of copies sold per day, standard number of copies sold will be the average of the high and low estimates, which is 5000 copies per day. At 10 cents each, the expected revenue of $500 per day, and the amount will be lost while the copier is broken.