nstructions: Use the following scenario and data for questions $1$ to $10.$

Groff Kitchen LLC$,$ makes two types of barbeque grills. The availability of three scarce resources limits the

production of the grills. The profit contribution, resource usage per unit of each grill, and availability of the

resources are given in the following table:

Resource Usage Per Unit

Resource Grill $1$ Grill $2$ Availability

$123180$

$242200$

$376420$

Profit Contribution $1512--$

The decision variables used in the linear programming model are:

$1$ Number of units of grill $1$ to produce

$2$ Number of units of grill $2$ to produce

The linear programming model and the graphic solution are given in the following

Max $151+122$

s$.$t $21+32<=180$

$41+22<=200$

$71+62<=420$

$1,2>=0$