Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The Deer Valley Farm (DVF) produces a natural organic fertilizer, which it sells mostly to gardeners and homeowners. The annual demand for fertilizer is 220,000 pounds. The farm is able to produce 305,000 pounds annually. The cost to transport the fertilizer to from the plant to the farm is $620 per load. The DVF sells the fertilizer in containers with 40 pounds of fertilizer. The annual carrying cost is 0.12 per pound.
a. Compute the optimum load size, the maximum fertilizer level at the farm, and the total minimum cost.
b. If the farm can increase the production capacity to 360,000 pounds per year, will it reduce total inventory costs?

Sagot :

anthougo

Answer:

The Deer Valley Farm (DVF)

a. Optimum load size = 7,625 containers

Maximum fertilizer level at the farm = 5,500 containers

Total minimum cost = $189,110,200

b. No.  Total inventory costs will increase.

Explanation:

a) Data and Calculations:

Annual demand for fertilizer = 220,000 pounds

Annual production units = 305,000 pounds

Inventory = 85,000 pounds

Cost to transport the fertilizer to and from the plant to the farm = $620

Each container holds = 40 pounds

Annual carrying cost per pound = $0.12

Optimum load size = 305,000/40 = 7,625 containers

Maximum fertilizer level at the farm = 5,500 containers (220,000/40)

Total minimum cost = $ ($620 * 305,000) + ($0.12 * 85,000)

= $189,110,200 ($189,100,000 + 10,200)

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.