Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, -Sunblessed has 100,000 pounds of grade 9 oranges and 120,000 pounds of grade 6 oranges on hand. The average quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $1.50 and incurs a variable cost (consisting of labor costs,variable overhead costs, inventory costs,and so on) of $1.05. Each pound of oranges sold in bags yields a revenue of $1.50 and incurs a variable cost of $0.70. a. Determine how Sunblessed can maximize its profit. b. Use SolverTable to determine how a change in the cost per bag of oranges changes the optimal -solution. c. Use SolverTable to determine how a change in the amount of grade 9 oranges available affects the -optimal solution. d. Use SolverTable to determine how a change in the required average quality required for juice changes the optimal solution.

Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, -Sunblessed has 100,000 pounds of grade 9 oranges and 120,000 pounds of grade 6 oranges on hand. The average quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $1.50 and incurs a variable cost (consisting of labor costs,variable overhead costs, inventory costs,and so on) of $1.05. Each pound of oranges sold in bags yields a revenue of $1.50 and incurs a variable cost of $0.70. a. Determine how Sunblessed can maximize its profit. b. Use SolverTable to determine how a change in the cost per bag of oranges changes the optimal -solution. c. Use SolverTable to determine how a change in the amount of grade 9 oranges available affects the -optimal solution. d. Use SolverTable to determine how a change in the required average quality required for juice changes the optimal solution.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section: Chapter Questions

Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...

See similar textbooks

Similar questions

Hydronos is a Greek manufacturer of yogurts that have gained popularity in the United States, so it has recently built a U.S. production plant and distribution center. To ensure that it complies with U.S. environmental standards, Hydronos is planning to implement efforts to reduce emissions and other industrial waste at its manufacturing plants using a program called Green-100. Green-100 covers all company procedures, from reducing manufacturing emissions, to how the lights are controlled in the plant, to how the truck drivers complete their routes. For example, under the new Green-100 guidelines, Hydronos has measured the amount of fuel drivers need to complete their routes for traveling at moderate speeds. If drivers choose to drive at higher speeds, they will need to pay for any extra fuel they use. Hydronos also has plans to install speed governors in its fleet of trucks to ensure that the drivers do not exceed speeds of 80 miles per hour. Mangements' claim that the new technology…
Hydronos is a Greek manufacturer of yogurts that have gained popularity in the United States, so it has recently built a U.S. production plant and distribution center. To ensure that it complies with U.S. environmental standards, Hydronos is planning to implement efforts to reduce emissions and other industrial waste at its manufacturing plants using a program called Green-100. Green-100 covers all company procedures, from reducing manufacturing emissions, to how the lights are controlled in the plant, to how the truck drivers complete their routes. For example, under the new Green-100 guidelines, Hydronos has measured the amount of fuel drivers need to complete their routes for traveling at moderate speeds. If drivers choose to drive at higher speeds, they will need to pay for any extra fuel they use. Hydronos also plans to install speed regulators in its fleet of trucks to ensure that the drivers do not exceed speeds of 60 miles per hour. If drivers choose to drive at higher speeds,…
STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established. 12-ft 15-ft 30-ft Trim Loss (ft) Min s.t. 12-f Pattern Number 15-1 1 30-1 2 3 4 5 0 D 8 3 7 6 0 0 0 1 0 3 0 2 0 10 Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 3(12)+ 0(15) + 2(30) 96 feet used results in 100-96-4 foot of trim loss). Orders in hand for the coming week are 5,660 12- foot rolls, 1,690 15-foot rolls, and 3,340 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory is held. 10 (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the five…
STAR Co. provides paper to smaller companies with volumes that are not large enough to warrant dealing directly with the paper mill. STAR receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. The demands for these widths vary from week to week. The following cutting patterns have been established. Pattern Number 12‐ft 15‐ft 30‐ft Trim Loss (ft) 1 0 6 0 10 2 0 0 3 10 3 8 0 0 4 4 3 0 2 4 5 7 1 0 1 Trim loss is the leftover paper from a pattern (e.g., for pattern 4, 3(12) + 0(15) + 2(30) = 96 feet used results in 100 − 96 = 4 foot of trim loss). Orders in hand for the coming week are 5,680 12-foot rolls, 1,670 15-foot rolls, and 3,340 30-foot rolls. Any of the three types of rolls produced in excess of the orders in hand will be sold on the open market at the selling price. No inventory is held. (a) Formulate an integer programming model that will determine how many 100-foot rolls to cut into each of the…
South Africa Airways would like to monitor its airline’s performance. Each week for the past 20 weeks, they checked each week a random sample of 100 flight arrivals for “one-time” performance. The table that follows contains the number of flights that did not meet South Africa Airways definition of “one time”: Week Late flights 1 2 2 4 3 10 4 4 5 1 6 1 7 13 8 9 9 11 10 0 11 3 12 4 13 2 14 2 15 8 16 2 17 3 18 7 19 3 20 2 Which control chart is appropriate to analyze the above data? Justify your answer
South Africa Airways would like to monitor its airline’s performance. Each week for the past 20 weeks, they checked each week a random sample of 100 flight arrivals for “one-time” performance. The table that follows contains the number of flights that did not meet South Africa Airways definition of “one time”: Week Late flights 1 2 2 4 3 10 4 4 5 1 6 1 7 13 8 9 9 11 10 0 11 3 12 4 13 2 14 2 15 8 16 2 17 3 18 7 19 3 20 2 Calculate the upper and lower control limits for this chart.
K- The Tyler Apiaries sells bees and beekeeping supplies Bees (including a queen) are shipped in special packages according to weight. target weight of a package is 1.2 kg. Historically, Tyler's shipments have weighed on average 1 2 kg, with a standard deviation of 0.07 kg a. The lower and upper tolerance limits are 1.1 kg and 1.3 kg, respectively The process capability ratio is 0476 (Enter your response rounded to three decimal places) capable of meeting the tolerance limits 99 7% of the time Tyler Apiaries
A computer manufacturer discovers through experience that an average of 6 defective hard drives are found in every 100 hard drives manufactured. How many defective hard drives are expected to be found in the production of 1900 hard drives?
A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.
In a manufacturing process, 10% of the produced units are defective. If the process produces 1000 units per hour, how many defective units are produced in a day (8 hours of operation)?
Each day, a FedEx competitor processes approximately 80,000 shipments. Suppose that they use the same Service Quality Index as FedEx and identified the following numbers of errors during a 5-day week (see the "FedEx: Measuring Service Performance" box). These values are hypothetical and do not reflect any real company's actual performance. Weight Number of Errors 3 135 16 10 1 102 1 286 3 200 10 4 1 29 1 753 3 114 Wrong day late 5 20 Compute the Service Quality Indicator by finding the weighted sum of errors as a percentage of total shipments. Do not round intermediate calculations. Round your answer to three decimal places. Service Quality Indicator (SQI): % Description Complaints reopened Damaged packages International Invoice adjustments Late pickup stops Lost packages Missed proof of delivery Right date late Traces
Big Turkey Burger Farms (BTBF) produces a large turkey burger that is world famous. This burger is known not only for its quality, but also its size and consistency. BTBF produces a turkey burger that on average is 12 ounces (with a standard deviation of 0.10 ounces). Currently, BTBF has been approached by two major restaurant chains: Monarch Burgers and Audrey's. a. Monarch wants a turkey burger that is between 11.77 and 12.23 ounces. i. For this customer, calculate the Cp. ii. Calculate the Cpk value. iii. How well would BTBF's products meet the demands of Monarch Burgers? b. Audrey's, in contrast, wants a turkey burger that is 11.95 ounces on average with a tolerance of ± 0.30 ounces. i. For this customer, calculate the Cp. ii. Calculate the Cpk value. iii. How well would BTBF's products meet the demands of Audrey's?