A local Manufacturing plant has three work stations with two machines operating in parallel in workstation $1.$ In other words, before proceeding to station $2,$ the product can be processed in either one of the two machines in workstations $1$:

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If you could increase the capacity of Station B$,$ By how much would you increase the capacity of this work station?

Also, the company is able to hold inventory at the cost of $$4$ per pound per quarter to satisfy demand in future quarters. Once it hires a worker the company pays them $$5,000$ per quarter. The Good and Gooey Candy Company has a workforce of $100$ workers each of whom can produce $1,000$ pounds of candy per quarter.

The table below gives the quarterly sales forecasts for the next year. Given the following quarterly sales forecasts use Linear Programming to determine the best aggregate production plan to meet the demand for chocolate candies.

Quarter

Sales Forecast $($lb$)$

Spring

$178,000$

Summer

$91,500$

Fall

$208,000$

Winter

$207,500$

What is the predicted total cost associated with sales for next year?

Group of answer choices

$11,194,813$

$3,234,900$

$3,541,437$

$31,234,840$