In an LTL $($less$-$than$-$truckload$)$ trucking company, terminal docks include casual workers who are hired temporarily to account for peak loads. At the Omaha, Nebraska dock, the minimum demand for casual workers during the seven days of the week $($starting on Monday$)$ is $12,20,14,10,15,18,$ and $10$ workers. Each worker is contracted to work five consecutive days with a daily wage of $$100.$ An additional day can be added to the contract of a worker, that is a worker could work for six consecutive days, with a wage of $$150$ for the additional day. Develop the LP model to determine an optimal weekly hiring practice of casual workers for the company.