Calculate the below using linear programming. $$I am very obsessed with clean delivery of finished jobs, so all jobs come into the shop floor in our trucks, bundled and tagged by order number and client$$s name and when finished shipped out in our own trucks.$$ Ali continued $$Upon arrival, bundles are inspected by our receivers to make sure they are all good. On average, this is done in about $5$ minutes. After that jobs would be divided into two categories$$: a$)$ Rubber and b$)$ Plush. All rubber jobs will go through three processes: scarping, wash and dry$/$shine$.$ Now let$$s walk through the shop and see them done in action.$$ said Ali. During your tour of rubber operations, you noted that in $$scraping$$ stage, mats and runners were guided through scraper rollers to remove debris from grooved surface $($e$.$g$.,$ gum, duck tapes, sand, etc.$)$ from the surface. Different scrapers were used for mats and runners. You were told that on average bundles of runners and mats were scarped in $6$ minutes and $3$ minutes respectively. Next, bundles of mats and runners were washed in separate machines. You were told that machine washing of runner and mat bundles are averagely completed in $10$ and $5$ minutes respectively. All washed rubber jobs were dried by pressure air and surface coated with a shine spray. You were advised that these activities averagely are completed in $8$ minutes and $4$ minutes for runners and mats respectively.

Ali$$s brother, Abbas took your group for a tour of Plush operation and you noted bundles first went through detail wash whereby they were washed four times with different chemicals to remove dirt and stain. Next, they were dried through heat rollers and hot air blowers and sprayed with stain guard. You were told that wash and dry of plush bundles would averagely take $15$ and $20$ minutes respectively.

At the end of your tour Ali and Abbas told you that they ensure all the rubber and plush jobs are carefully checked for quality before they are shipped to the customer. $$On average we spent about $5$ minutes on each bundle to make sure the outgoing bundles are clean, dry, treated and tagged properly. You asked them how many of each job order they receive. Ali said the number of orders slightly change at different times of the year, but ballpark $80\%$ of their orders are rubber jobs and $20\%$ is for plush. You asked about the break down of rubber orders and they said mats and runner each form $40\%$ of orders.