Demand for a certain product is 25,000 units/year. Unit cost = $10.00. Holding cost rate = 30%/year. Changeover (setup) time between products = 10.0 hours, and downtime cost during changeover = $150/hour. Determine the total production cost per year associated with the optimal batch size.
Added by Rodrigo M.
Step 1
Total setup cost = Setup time * Downtime cost per hour * Annual demand Total setup cost = 10 hours * $150/hour * 25,000 units/year Total setup cost = $150,000 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Kumar Abhinav and 59 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A toy factory has an annual demand for 25,000 tops. It costs $2.00 to store one top per year. It costs $500 for each production set-up for these tops and $4.00 to manufacture a single top. Find the total cost function. Total Cost of Production is: T(q) = fM/q + gM + kq/2, where q is number of units per production run; k is cost of storing one item per year; g is cost of manufacturing a single unit of the product; f is fixed set-up cost for a production run; M is total demand of units per year. Given Constants Total Cost Function Find the optimum number of tops per batch as well as the number of batches per year.
Eduard S.
A company determines that the demand function for a product can be modeled by p = 220 - 0.2x, where x is the number of units produced per week. The fixed cost is $120,000 and the variable cost is $80 per unit. Find the number of units that yield the maximum profit.
Andrew N.
Refer to the following: The demand for a product, in thousands of units, can be expressed by the exponential demand function $$ D(p)=2300(0.85)^{p} $$ where $p$ is the price per unit. Find the demand for the product by completing the following table. (TABLE CANNOT COPY)
Exponential and Logarithmic Functions
Exponential Functions and Their Graphs
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD