Question

Current Demand (D) =100,000 units per year; 1000 square feet of warehouse space is required for...

  • Current Demand (D) =100,000 units per year;
  • 1000 square feet of warehouse space is required for every 1000 units.
  • Current spot market price (p)=$1.20 per sq. ft. per year;
  • Discount rate (k)=0.1,
  • Revenue = $1.25 per unit of demand
  • Two-year plan: Next year the demand (D) may go up by 20% with probability of 0.6 or go down by 20% with probability of 0.4. Similarly, the spot price (p) may go up by 10% with probability of 0.7 and go down by 10% with probability of 0.3.
  1. Draw the decision tree with periods 0 and 1 for this case scenario with the corresponding probabilities on each branch of the tree. Also, please provide demand and spot prices on each node,
  2. Calculate the expected profit that the company will make for a two-year plan by only buying at the spot market. Spot Market ONLY. No flexible lease.
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Answer #1

Decision Tree:

Expected Annual Profit = Total revenue per unit - Total cost at spot price

= (1,00,000*$1.25- 1,00,000*$1.2) = $5,000

Profit for two year = $5,000*2 = $10,000

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