Please Solve Both Problems

1. A company has two warehouses A and B, and three retail outlets 1, 2 and 3. The warehouse capacities, retail outlet demands, and per-unit shipping costs ($) are shown in the table below. Formulate a linear programming (LP) model of this transportation problem with the objective of minimizing total shipping cost.

Retail Outlets Warehouses	1	2	3	Total Supply
A	$5	$8	$3	500
B	$7	$4	$6	250
Total Demand	300	400	250

Formulation includes:

Defining the decision variables, stating the objective function, and stating all constraints

2. A manager has four employees, and three projects (A, B, C) to be executed. The employees differ in efficiency, and the projects differ in their intrinsic complexity. The estimate of the times each employee would take to complete each project is given in the matrix below. Formulate a linear programming (LP) model for determining how the projects should be assigned to an employee in order to minimize the total project completion time. No employee should be assigned more than one project.

Employee

Project

	1	2	3	4
A	8	14	12	11
B	6	9	10	8
C	7	10	9	11

Formulation includes:

Defining the decision variables, stating the objective function, and stating all constraints