Bindley Corporation has a one$-$year contract to supply motors for all washing machines produced by Rinso Ltd$.$ Rinso manufactures the washers at four locations around the country: New York City, Fort Worth, San Diego, and Minneapolis. Plans call for the following numbers of washing machines to be produced at each location:

New York City $50,000$

Fort Worth $70,000$

San Diego $60,000$

Minneapolis $80,000$

Bindley has three plants that can produce the motors. The plants and production capacities are

Boulder $100,000$

Macon $100,000$

Gary $150,000$

Due to varying production and transportation costs, the profit Bindley earns on each $1,000$ units depends on where they were produced and where they were shipped. The following table gives the accounting department estimates of the dollar profit per unit. $($Shipment will be made in lots of $1,000.)$

PRODUCED AT SHIPPED TO

NEW YORK CITY FORT WORTH SAN DIEGO MINNEAPOLIS

Boulder $711813$

Macon $20171210$

Gary $8181316$

Given profit maximization as a criterion, Bindley would like to determine how many motors should be produced at each plant and how many motors should be shipped from each plant to each destination

Find the optimal solution using Microsoft Excel. $($Note: Due to existing transportation contracts, Macon must ship $50,000$ motors to Fort Worth and $0$ motors to San Diego. These requirements are already shown in the Candidate Solution below.$)$

Note: Leave the cells blank, whenever zero $(0)$ is required.

Profit New York City Fort Worth San Diego Minneapolis Total

Boulder $000-$

Macon $--00$

Gary $0---$

Total Profit

Please fill in numbers where all of the dashes are, thank you!