During the next three months Airco must meet $($on time$)$ the following demands for air

conditioners: month $1$: $300$; month $2$: $400$; month $3$: $500.$ Air conditioners can be produced

in either New York or Los Angeles. It takes $1\mathrm{.}5$ hours of skilled labor to produce an air

conditioner in Los Angeles, and $2$ hours in New York. It costs $$400$ to produce an air

conditioner in Los Angeles, and $$350$ in New York. During each month, each city has $420$

hours of skilled labor available. It costs $$100$ to hold an air conditioner in inventory for a

month. At the beginning of month $1,$ Airco has $200$ air conditioners in stock. Formulate an

LP whose solution will tell Airco how to minimize the cost of meeting air conditioner

demands for the next three months.