Calculas

posted by .

(Inventory Cost) A shopkeeper finds that the cost C of ordering and storing the latest laptop is
C = 2 x + (300000 / x), where x is in the interval [1, 300]. The delivery of truck can bring at most 300 units per
order.
(a) Find the order size that will minimize the cost
(b) Could the cost be decreased if the truck is replaced with a larger one that could bring 400 units?

  • Calculas -

    take the derivative of cost with respect to x. SEt it equal to zero. Solve for x.

    I will be happy to critique your thinking.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    An electronics firm uses 600 cases of transistors each year. The cost of storing one case for a year is 90 cents, and the ordering fee is $30 per shipment. How many cases should the firm order each time to keep total cost at a minimum, …
  2. Business

    Thomas Kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. Thomas’s fastest moving inventory item has a demand of 6000 units per year. The cost of each unit …
  3. accounting

    Eddings Company had a beginning inventory of 400 units of Product XNA at a cost of $8.00 per unit. During the year, purchases were: Feb. 20 600 units at $9 Aug. 12 300 units at $11 May 5 500 units at $10 Dec. 8 200 units at $12 Eddings …
  4. math

    Eddings Company had a beginning inventory of 400 units of Product XNA at a cost of $8.00 per unit. During the year, purchases were: Feb. 20 600 units at $9 May 5 500 units at $10 Aug. 12 300 units at $11 Dec. 8 200 units at $12 Eddings …
  5. inventory management decison model

    Develop mathematical functions that compute the annual ordering cost and annual holding costs based on average inventory held throughout the year in order to arrive at a model for total cost.
  6. prealgebra

    You are ordering food for home delivery. The cost of your food is $26. You want to give the delivery person an 18% tip. What is the total cost with the tip?
  7. math

    A sporting goods company has a distribution center that maintains inventory of fishing rods. The fishing rods have the following demand, lead time, and cost characteristics: Average demand = 95 units per day, with a standard deviation …
  8. Quantitative methods.

    INVENTORY MODEL The demand for a particular item is 10 000 units per yer. The number of units per order is 900. The set cost is rs 90 per order, the cost of item is rs2 per item and the holding cost is rs 080 per item per month. If …
  9. math

    the fabric mart had cost of goods sold at $844,000 for the year.the beginning inventory at cost was $305,500, and the ending inventory at cost amounted to $414,200. the inventory turn-over rate published as the industry standard for …
  10. business

    Company X stocks a certain type of containers, each of which occupies 4 square feet of warehouse space. The warehouse space currently available for storing this type of container is limited to 3000 square feet. Demand for the container …

More Similar Questions