Question

Suppose that a Ford Motor Company factory requires 7 units of metal,
20 units of labor, 3 units of paint, and 8 units of plastic to build a car,
while it requires 10 units of metal, 24 units of labor, 3 units of paint,
and 4 units of plastic to build a truck. A car sells for $6000 and a truck
for $8000. The following resources are available: 2000 units of metal,
5000 units of labor, 1000 units of paint, and 1500 units of plastic.

(a) State the problem of maximizing the value of the vehicles produced with these resources as a linear program.

Answer 1

Format: (#trucks)(inputA/truck) + (#cars)(inputA/car) <= inputA amount available as constraints, for the various input types

then
maximize total value = (#trucks)(value/truck) = (#cars)(value/car)

solutions for linear programing problems come at intersections of constraints