Answer them all correctly please

$1-$Suppose that the design specifications for a hydraulic cylinder are $11\mathrm{.}00\backslash$pm $0\mathrm{.}10$ centimeters and that the Taguchi loss function is estimated to be L$($x$)=1,200($x $$ T$)2.$

Determine the estimated loss for a production order if the quality characteristic under study takes on a value of $11\mathrm{.}020$ and $200$ parts are produced. Round your answer to the nearest dollar.

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Assume the production process is recalibrated weekly, and a new sample of cylinders after recalibration reveals an x$-$bar of $10\mathrm{.}785.$ Determine the estimated loss for $200$ parts. Round your answer to the nearest dollar.

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$2-$ The Taguchi loss function is estimated to be L$($x$)=65,000($x $0\mathrm{.}200)2.$ What are the economic design specifications if the cost of inspection and adjustment is $$7\mathrm{.}00?$ Round your answers to three decimal places.

Break$-$Even Tolerance: $\_\_\_\_\_\_\_$

Lower Specification Limit: $\_\_\_\_\_\_\_\_$

Upper Specification Limit: $\_\_\_\_\_\_\_\_\_$

$3-$ A quality characteristic has a design specification $($in cm$)$ of $0\mathrm{.}400\backslash$pm $0\mathrm{.}040.$ If the actual process value of the quality characteristic is at the boundary of the tolerance on either side, the product will require a repair of $$30.$ Find the value of k$.$ Round your answer to the nearest dollar.

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State the Taguchi loss function. Round your answer for the first field to the nearest whole number and the answer for the second field to three decimal places.

L$($x$)=\_\_\_\_\_\_($x $-0\mathrm{.}4)2$

What is the economic loss associated with x $=0\mathrm{.}408?$ Round your answer to the nearest cent.

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$4-$ Cassette tapes are still used in some handheld recording devices and in less expensive portable musical instrument recording devices. The desired speed of a cassette tape is $1\mathrm{.}850$ inches per second. Any deviation from this value causes a change in pitch and tempo and thus poor sound quality. Suppose that adjusting the tape speed under warranty when a customer complains and returns a device costs a manufacturer $$25.$ Based on past information, the company knows the average customer will return a device if the tape speed is off the target by at least $0\mathrm{.}100$ inch per second; in other words, when the speed is either $1\mathrm{.}950$ or $1\mathrm{.}750.$ Suppose that a technician tests the tape speed prior to packaging and can adjust the speed to the target of $1\mathrm{.}850$ at a cost of $$7.$ What should the economic specification limits be$?$ The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.

What is the break$-$even tolerance? Round your answer to three decimal places.

break even tolerance $\_\_\_\_\_\_\_\_$

What are the lower and upper economic specification limits$?$ Round your answers to three decimal places.

Lower specification limit: $\_\_\_\_\_\_$

Upper specification limit: $\_\_\_\_\_\_\_$