For each of the problems below, write out the model including $1)$ the decision variables, $2)$ the objective function, and $3)$ the constraints. Solve the models on Excel. Please upload both the excel file as well as the written out models $($which may be handwritten, typed on word, or even typed into the excel file$).$ company producing a standard line and a deluxe line of dishwashers has the following time requirements $($in minutes$)$ in departments where either model can be processed.

$\backslash$table$[[,$Standard,Deluxe$],[$Stamping$,3,6],[$Motor installation,$10,10],[$Wiring$,10,15]]$

The standard models contribute $$20$ each and the deluxe $$30$ each to profits. Because the company produces other items that share resources used to make the dishwashers, the stamping machine is available only $30$ minutes per hour, on average. The motor installation production line has $60$ minutes available each hour. Ihere are two lines for wiring, so the time availability is $90$ minutes per hour.

The company wants to know the number of standard dishwashers deluxe dishwashers that should be produced per hour in order to maximize profits.