Solve by using the inverse of a matrix

Truck frames 1,600 2,000 2,200 Production scheduling. Labor and material costs for manu- facturing two guitar models are given in the table: Guitar Model Labor Cost Material Cost $30 $20 B $40 $30 (A) If a total of $3,000 a week is allowed for labor and material, how many of each model should be produced each week to use exactly each of the allocations of the $3,000 indicated in the following table? Weekly Allocation 2 3 Labor $1,800 $1,750 $1,720 Material $1,200 $1,250 $1,280 (B) Is it possible to use an allocation of $1,600 for labor and $1,400 for material? Of $2,000 for labor and $1,000 for material? Explain