Venus Robotics has two employee training programs $-$

Teamwork and Creative Thinking. The training programs are

delivered $to20$ employees $at$ a time. Teamwork training $isa3$

day program and costs $$10,000$ per offering; Creative

Thinking lasts $2$ days and costs $$8,000.$ Venus Robotics'

management has decided that $at$ least $15$ training programs

should $be$ offered total, with $at$ least $6of$ these $on$ Teamwork

and $at$ least $6on$ Creative Thinking. However, they $do$ not

wish their employees $to$ use more than $1000$ days $of$ training.

$(One$ Teamwork training program occupies $20$ employees for

$3$ days, $so$ requires $60$ days $of$ training time.$)$

${?}_1$ $$5,000$ per offering.

Should Venus Robotics offer this training?

Find the dual $of$ the initial model and define decision

variables and constraints $in$ the dual model.

Solve the dual model with Excel Solver. Comment $on$

optimum solution and $on$ values $of$ basic variables.