what is the solution that minimizes the maximum percentage deviation from all the goal?

The Waygate Corporation makes five different types of metal casing for personal computers. The company is in the process of replacing its machinery with three different new models of metal stamping machines: the Robo$-$I, Robo$-$II$,$ and Robo$-$III. The unit costs of each machine are $$18,500,$$$25,000,$ and $$35,000,$ respectively. Each machine can be programmed to produce any of the five casings. After the machine is programmed it produces each type of casing at the following rates:

Casings per Hour

$\backslash$table$[[,$Type $1,$Type $2,$Type $3,$Type $4,$Type $5],[$Robo$-$I,$100,130,140,210,80],[$Robo$-$II$,265,235,170,220,120],[$Robo$-$III,$200,160,260,180,220]]$

The company has the following goals:

Goal $1$: To spend no more than approximately $$400,000$ on the purchase of new machines

Goal $2$: To have the ability to produce approximately $3,200$ units of type $1$ casings per hour

Goal $3$: To have the ability to produce approximately $2,500$ units of type $2$ casings per hour

Goal $4$: To have the ability to produce approximately $3,500$ units of type $3$ casings per hour

Goal $5$: To have the ability to produce approximately $3,000$ units of type $4$ casings per hour

Goal $6$: To have the ability to produce approximately $2,500$ units of type $5$ casings

Q$3.$ The city of Arlington is determining its tax rate structure for the coming year. The city needs to generate $$6$ million in tax revenue via taxes of property, sales, prepared food, and utilities. The following table summerizes how much tax revenue would be generated from each segment of the population by the $1\%$ increase in each tax category. $($For instance. a $2\%$ tax on prepared food would generate $$240,000$ in tax revenue from upper income residents.$)$

Revenues $($in $$1,000$ s$)$ per $1\%$ Tax Rate.

$\backslash$table$[[$Income Group Sales,Property,Food,Utility$],[$Low$,$$$200,$$$600,$$$50,$$$80$