Analyze a hospital operating room

Turn around time $($TAT$)$ is a measure of the length of time from the end of one surgery in an operating room to the beginning of the next surgery. Impr operating room efficiency by allowing more surgeries to be performed per day. TAT involves:

sterilizing the operating room.

setting up equipment and supplies for the next patient.

preparing the next patient for surgery.

The average times associated with TAT activities were determined as follows:

$\backslash$table$[[$Sterilization$,15$ min $).],[$Equipment and supply setup,$10],[$Patient preparation,$15],[$Total TAT,$40$ min $).]]$

Each activity is performed in the operating room sequentially so that the total TAT averages $40$ minutes. A process improvement team determined that th improved by moving some of this activity outside of the operating room, thus allowing these activities to be done simultaneously. Sterilization must be do room, so this activity was not changed. However, equipment and supplies were prepared in a room outside of the operating room while sterilization was $p$ equipment and supplies were placed on a rolling cart, and then rolled into the operating room and staged for the next surgery. In addition, the improvem the patient could be prepared outside of the operating room by using a small room for patient preparation. When the operating room was ready, the patie on a rolling bed and staged for the procedure. As a result of these changes, the total equipment and supply setup only consumed $2$ minutes in the operati total patient preparation only consumed $3$ minutes in the operating room.

a$.$ Determine the revised TAT of the new process.

minutes

b$.$ What is the ratio of TAT improvement between the old and new processes?

$\%$

Measure maps

TMD Goal Inc. produces and sells hockey equipment, often custom made for online orders. The company has the following performance metrics on its balanced scorecard: days from ordered to delivered, number of shipping errors, customer retention rate, and market share. A measure map illustrates that the days from ordered to delivered and the number of shipping errors are both expected to directly affect the customer retention rate, which affects market share. Additional internal analysis finds that:

Every shipping error over $3$ shipping errors per month reduces the customer retention rate by $1\mathrm{.}5\%.$

On average, each day above $3$ days from ordered to delivered yields a reduction in the customer retention rate of $1\%.$

Each day before three days from order to delivery yields an increase in the customer retention rate of $1\%,$ on average.

TMD Goal Inc.$\text{'}$s current customer retention rate is $80\%.$

The company estimates that for every $1\%$ increase or decrease in the customer retention rate, market share changes $0\mathrm{.}5$ in the same direction.

TMD Goal Inc.$\text{'}$s current market share is $22\mathrm{.}4\%.$

Ignoring any other factors, if the company has $6$ shipping errors this month and an average of $3\mathrm{.}5$ days from ordered to delivered, determine.

a$.$ The new customer retention rate. Round your answer to one decimal place.

$\%$

b$.$ The new market share that TMD Goal Inc. expects to have. Round your answer to two decimal places.

$\%$

Measure maps

TMD Goal Inc. produces and sells hockey equipment, often custom made for online orders. The company has the following performance metrics on its balanced scorecard: days from ordered to delivered, number of shipping errors, customer retention rate, and market share. A measure map illustrates that the days from ordered to delivered and the number of shipping errors are both expected to directly affect the customer retention rate, which affects market share. Additional internal analysis finds that:

Every shipping error over $3$ shipping errors per month reduces the customer retention rate by $1\mathrm{.}5\%.$

On average, each day above $3$ days from ordered to delivered yields a reduction in the customer retention rate of $1\%.$

Each day before three days from order to delivery yields an increase in the customer retention rate of $1\%,$ on average.

TMD Goal Inc.$\text{'}$s current customer retention rate is $80\%.$

The company estimates that for every $1\%$ increase or decrease in the customer retention rate, market share changes $0\mathrm{.}5$ in the same direction.

TMD Goal Inc.$\text{'}$s current market share is $22\mathrm{.}4\%.$

Ignoring any other factors, if the company has $6$ shipping errors this month and an average of $3\mathrm{.}5$ days from ordered to delivered, determine.

a$.$ The new customer retention rate. Round your answer to one decimal place.

$\%$

b$.$ The new market share that TMD Goal Inc. expects to ha