# Operations management problems | Operations Management homework help

Problems(20 points) A part for an automobile should have a length of 4.00 in. The following is a summary table of the mean (x-bar) and range (R) for the observations in each sample, where there were four readings of the length (observations) in each sample.
Mean RangeSample 1 4.01 0.04Sample 2 3.98 0.06Sample 3 4.00 0.02Sample 4 3.99 0.05Sample 5 4.03 0.06Sample 6 3.97 0.02Sample 7 4.02 0.02Sample 8 3.99 0.04Sample 9 3.98 0.05Sample 10 4.01 0.06
x-bar-bar = …………. R-bar = …………. n (number of observations in a sample) = …………
Calculate the upper and lower control limits for the R chart.
R-bar = ………………………………………………………………………………………. (1 point)UCLR = ……………………………………………………………………………………… (2 points)LCLR = ……………………………………………………………………………………… (2 points)
Calculate the upper and lower control limits for the x-bar chart.
X-bar- bar = …………………………………………………………………………. .…… (1 point)UCLxbar = ……………………………………………………………………………….… (2 points)LCLxbar = ………………………………………………………………………………..… (2 points)
Plot the charts, including UCL, mean, and LCL. (4 points)
R Chart Xbar ChartIs this process in control? …………………………………………… (2 points)Why or why not? …………………………………………………………………….…………………………………………………………………………………………… (2 points)
(6 points) The specification for a plastic handle calls for a length of 6.0 inches ± 0.2 inches. However, the actual process, as just recently measured, has an average length of 6.07 inches. The UCL of the process is 6.22 inches and the LCL is 5.92 inches.
What is the Cpk for this process?
Cpk = ……………………………………………………………………………………………..….……………………………………………………………………………………………… (4 points)
Is this process capable of producing the desired part? Why?…………………………………………………………………………….…………….. (2 points)
(7 points) A local convenience store makes personal pan pizzas. Currently, their process makes complete pizzas, fully cooked, for the customer. This process has a fixed cost of \$20,000 and a variable cost of \$1.75 per pizza. The owner is considering a different process that can make pizzas in two ways: completely cooked (as before), or partially cooked and then flash frozen, for the customer to finish at home. This alternate process has a fixed cost of \$24,000, but a lower variable cost (because much less energy is used in baking) of \$1.25 per pizza. He sells the Pizzas for \$5 each.
What is the crossover point in pizzas between the existing process and the proposed process? (4 points)
If the owner expects to sell 9,000 pizzas, should he get the new process (1 point) and why (2 points)?
Why is RNP advantageous to the FAA? (3 points)The biggest problems with moving to RNP are ….? (3 points)Where n is the number of observations in the sample, not the number of samples!
Cpk = Min ((USL-xbar)/(UCL- xbar),(xbar -LSL)/(xbar -LCL))
Where SL = Specification Limit; CL = Control Limit;U = Upper, L = Lower,
TCA = FCA + VCA * nWhere TCy = Total cost for alternative y; VCy = Variable Cost per unit for alternative y;FCy = Fixed Cost for alternative y; n is number of units produced.
TRA = PA * n
Where TRx = Total Revenue for product x and Px = Price per unit of product x.

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