Chapter 9, Problem 21QP

The Clyde Dam in the South island of New Zealand is located in an area more unstable than was thought when it was designed.   It took more than 10 years to build and is the largest concrete dam in New Zealand.  Therefore the Electricity Corporation of New Zealand has taken additional precautions to ensure the stability of the hillsides surrounding it by constructing an underground curtain of 1,362 meters along the Clutha River.  Such a curtain is constructed by drilling holes in the rock and injecting concrete into them.  This required hiring drilling rigs and the construction company wanted to minimize the drilling time of the drilling rigs to finish the project quickly.   From the few holes the company had already drilled, the company found that the drilling rigs were often idle while it pursued interrelated activities.  Since these rigs were hired from an outside company at a cost of NZ$227/hour, this idling time was a major concern.  It also meant that project completion would be…

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?

Show that the number of independent elastic constants in a monoclinic material is

Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of 10.024 inch. The CNC process that manufactures these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch. Which of the following statements is true concerning the process capability ratio and process capability index? The process is off center and incapable. The process is centered, but incapable. The process is capable and centered. The process is capable, but off center.

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. 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…

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 de- mands 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) 6. 10 3 10 3 8 4 2 5 7 ter 9 Integer Linear Optimization Models Trim loss is the leftover paper from a pattern (for example, for pattern 4, 2(12) + 1(15) + 2(30) = 99 feet used results in 100 – 99 = 1 foot of trim loss). Demands this week are 5670 12-foot rolls, 1680 15-foot rolls, and 3350 30-foot rolls. Develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern). --

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