The tolerance limits for a particular quality characteristic (e.g., length, weight, or strength) of a particular product are the minimum and/or maximum values at which the product will operate properly. Tolerance limits are set by the engineering design function of the manufacturing operation. The tensile strength of a particular metal part can be characterized as being normally distributed with a mean of 25 pounds and a standard deviation of 2 pounds. The upper and lower tolerance limits for the part are 30 pounds and 21 pounds respectively. A part that falls within the tolerance limits results in a profit of $10. A part that falls below the lower tolerance limit costs the company $2; a part that falls above the upper tolerance limit costs the company $1. Find the company’s expected profit per metal part produced.
The tolerance limits for a particular quality characteristic (e.g., length, weight, or strength) of a particular product are the minimum and/or maximum values at which the product will operate properly. Tolerance limits are set by the engineering design
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