Formulate the problem as a linear programming model including decision variables, objective function and the constraints. Use the first letter of each variable to represent the decision variable. For example, James = J. Decision Variables
Objective Function MAX
Total Funds <=
$5000 constraint 1 <= 5000
$5000 constraint 2 <= 5000
$5000 constraint 3 <= 5000
$1000 constraint 1 >= 1000
$1000 constraint 2 >= 1000
$1000 constraint 3 >= 1000
Suppose the profit on James candy decreased by $1 and the profit on QM increased by $1, use the 100% rule to calculate if this is an allowable change. State the % you get (2 decimal places). Then determine the new share allocation (if it remains unchanged, re-write) and the resulting profit.
100% value J QM DC $ Return

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)