How many lights does lps expect to sell at a discount

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Reference no: EM133458386

Question 1

A producer sells a certain type of LED lights to LPS, a local hardware store, at $12 each. The marginal production cost for the producer is $1 per item. LPS prices the lights at $24 and expects demand to be normally distributed with a mean of 20,000 and a standard deviation of 5,000. LPS places a single order with the producer. Currently, LPS discounts any unsold lights at the end of two months down to $3, and any lights that did not sell at full price sell at this price.

  • How many lights should LPS order?
  • What is LPS's expected profit?
  • How many lights does LPS expect to sell at a discount?
  • What is the expected under stock?
  • What is the producer's expected profit?
  • What is the supply chain's profit?

Question 2

For question 1, a plan under discussion is that the producer buys back any number of unsold lights for $8 per item.

  • Under this plan how many items will LPS order?
  • What is the expected profit for LPS?
  • How many lights are expected to be unsold?
  • What is the expected under stock?
  • What is the expected profit for the producer?
  • What is the supply chain's profit?
  • What should the producer do?

Reference no: EM133458386

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