The following information is available for Wilson Trailer Company, which sells two products: $\begin{array}{lcc} &\text { Trailer A } &\text { Trailer B} \\ \text { Processing time } & 2 \text { hours } & 4 \text { hours } \\ \text { Vinyl cover used } & 16 \mathrm{sq} \cdot \mathrm{m} . & 12 \mathrm{sq} . \mathrm{m} . \\ \text { Selling price } & \$ 50.00 & \$ 80.00 \\ \text { Variable cost } & \$ 35.00 & \$ 50.00 \\ \text { Fixerl cost } & \$ 10.00 & \$ 20.00 \end{array}$ There are 100 hours available in the plant and 75 square metres of vinyl available per operating period. -Refer to the figure.What is the constraint equation representing the materials available for the production processes?

A) 2A + 4B $\geq $ 100 B) 2A + 4B = 200 C) 16A + 12B = 75 D) 16A + 12B $\leq $ 75 A) 2A + 4B $\geq $ 100 B) 2A + 4B = 200 C) 16A + 12B = 75 D) 16A + 12B $\leq $ 75

Burley Company has the following information available concerning one of its inventory items: $\begin{array}{lr} \text { Cost of placing an order}&\$ 50.00\\ \text {Unit carrying cost per year }& \$ 2.00 \\ \text { Annual unit demand}&3,200\\ \text {Safety stock }&80\\ \text {Average daily demand }&10\\ \text {Normal lead time in days }&12\\ \end{array}$ -Refer to the figure.What is the cost of placing an order?

A) $2 B) $8 C) $25 D) $200 A) $2 B) $8 C) $25 D) $200

Burley Company has the following information available concerning one of its inventory items: $\begin{array}{lr} \text { Cost of placing an order}&\$ 50.00\\ \text {Unit carrying cost per year }& \$ 2.00 \\ \text { Annual unit demand}&3,200\\ \text {Safety stock }&80\\ \text {Average daily demand }&10\\ \text {Normal lead time in days }&12\\ \end{array}$ -Refer to the figure.The company operates 200 days a year,the lead time for the item is 10 days,and the safety stock is 100 units.What is the reorder point?

A) 70 units B) 100 units C) 170 units D) 1,000 units A) 70 units B) 100 units C) 170 units D) 1,000 units

Smith Products Corporation produces two products.The manufacture of these products is partially automated.Total available labour hours are 400,and the total available machine hours are 600.Time requirements and contribution margins per unit for each product are as follows: $\begin{array}{lcc} & \text { Praduct X } & \text { Praduct Y } \\ \text { Labour hours } & 2 & 3 \\ \text { Machine hours } & 4 & 2 \\ \text { Contribution margin per unit } & \$ 5 & \$ 4 \end{array}$ a.What is the equation to be maximized? b.What are the equations that express the constraints? c.What is the greatest number of units of A that can be produced given the constraints? d.What is the optimal solution?

a.Maximize $5X + $4Y b.Labour hours: 2X

Hassel Company manufactures two different products, X and Y. The company has 100 kilograms of materials and 300 direct labour hours available for production. The time requirements and contribution margins per unit are as follows: $\begin{array}{lcc} &\text {Product X}&\text {Product Y}\\ \text { Contribution margin per unit } & \$ 4 & \$ 5 \\ \text { Materials per unit (kg) } & 1 & 2 \\ \text { Direct labour hours per unit } & 4 & 2 \end{array}$ -Refer to the figure.What is the objective function for maximizing profits?

A) Maximize $1X + $2Y B) Maximize $4X + $2Y C) Maximize $4X + $5Y D) Minimize $4X + $5Y A) Maximize $1X + $2Y B) Maximize $4X + $2Y C) Maximize $4X + $5Y D) Minimize $4X + $5Y

Burley Company has the following information available concerning one of its inventory items: $\begin{array}{lr} \text { Cost of placing an order}&\$ 50.00\\ \text {Unit carrying cost per year }& \$ 2.00 \\ \text { Annual unit demand}&3,200\\ \text {Safety stock }&80\\ \text {Average daily demand }&10\\ \text {Normal lead time in days }&12\\ \end{array}$ -Refer to the figure.If there is a delay in shipping the item,approximately how many days can be covered by the safety stock?

A) 0.83 days B) 6.67 days C) 8.00 days D) 40 days A) 0.83 days B) 6.67 days C) 8.00 days D) 40 days

Heft Company produces A and B with contribution margins per unit of $40 and $30, respectively. Only 500 labour hours and 300 machine hours are available for production. Time requirements to produce one unit of A and B are as follows: \[\begin{array} { l c c c } & \text { Product A } & \text { Praduct B } \\ \text { Labour hours per unit }& 5 & 2 \\ \text { Machine hours per unit } & 1 & 4 \end{array}\] -Refer to the figure.What is the constraint on labour hours for Heft Company?

A) 1A + 4B $\leq $ 300 B) 5A + 1B $\leq $ 500 C) 5A + 2B $\leq $ 500 D) 40A + 30B $\leq $ 500 A) 1A + 4B $\leq $ 300 B) 5A + 1B $\leq $ 500 C) 5A + 2B $\leq $ 500 D) 40A + 30B $\leq $ 500