As part of a quality improvement initiative, employees of Bosco PLC must complete a two$-$day workshop on teaming and a three$-$day workshop on problem solving. The consultant that teaches these workshops has $48$ days of availability during this period. The consultant$$s fee is $$400$ for each workshop on teaming and $$300$ for each workshop on problem solving. The manager of quality improvement has requested that at least $8$ workshops on teaming and at least $6$ workshops on problem solving be offered during the current period. In addition, senior management has specified that at least $18$ total workshops must be offered during this period. Develop a linear programming model that can be used to find the number of each type of workshop that should be offered in this period, with the goal of minimizing the total cost to Bosco PLC$.$ Provide all constraints in standard form. You do not need to solve the LP$.$