interview in the requirement you selected reduce total cost? Solve the model again, using

the computer, with the reduction of this one interview in the constraint requirement to

verify your answer.

VI$.$ Identify the sensitivity ranges for the cost of a personal interview and the number of total

interviews required.

Chapter $4($include your formulations, solver files, and

optimal solutions$)$

$4-1)$

The Kealoha family operates a cattle farm in Hilo, Hawaii, and cultivates a vibrant garden where

they grow ingredients for their two signature relishes: a Hawaiian$-$style chow$-$chow and a tomato

relish. These relishes are packed in $16-$ounce jars and sold at local markets and craft fairs

throughout the fall season. The Hawaiian$-$style chow$-$chow brings in a profit of $$2\mathrm{.}25$ per jar,

while the tomato relish earns $$1\mathrm{.}95$ per jar. Key ingredients for these relishes include cabbage,

tomatoes, and onions. The chow$-$chow must have at least $60\%$ cabbage, $5\%$ onions, and $10\%$

tomatoes, whereas the tomato relish requires a minimum of $50\%$ tomatoes, $5\%$ onions, and $10\%$

cabbage, with both recipes keeping onions to no more than $10\%$ of the mix.

The Kealoha family can produce up to $700$ jars of relish due to time constraints. Based on five

years of sales data, they anticipate selling at least $30\%$ more chow$-$chow than tomato relish. With

$300$ pounds of cabbage, $350$ pounds of tomatoes, and $30$ pounds of onions ready for use, the

family aims to determine the optimal number of each relish jar to produce to maximize their

profits.

Formulate a linear programming model for this problem.

Solve this model by using the computer.

$4-2)$

Kaimana, a dedicated member of the local KTA in Hilo, Hawaii, has pledged to contribute

various baked goods for a fundraising bake sale happening on Saturday. He plans to offer a

delightful mix of chocolate cakes, white bread loaves, custard pies, and sugar cookies. On

Thursday evening, Kaimana gathers his ingredients from the local market, securing $20$ pounds of

flour, $10$ pounds of sugar, and $3$ dozen eggs$-$essential components for his baking spree.

Given the conversion rates$-18\mathrm{.}5$ cups from a $5-$pound bag of flour and $12$ cups from a $5-$pound

bag of sugar$-$Kaimana strategizes to utilize his Friday efficiently. He aims to start baking early

in the morning after his children head to school and complete his baking marathon in $8$ hours,

just in time before they come back from soccer practice.