Calculate tiered cost and break-even

Q: Calculate tiered cost and break-even

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Question

Tiered Pricing and Shipping Cost Function

You are ordering q units from a vendor with the following pricing:

Fixed setup fee per order: $500
Unit price: $12 for the first 1,000 units; $9 for each additional unit beyond 1,000
Shipping: $0.80 per unit for the first 2,000 units; $0.50 per unit thereafter

Tasks: (a) Write a formula for the total cost C(q) as a function of quantity q. (b) Compute the total and average cost per unit for q = 1,600 and q = 3,200. (c) If your resale price is $15 per unit, find the break-even quantity. Show your steps.

Calculate tiered cost and break-even

Tiered Pricing and Shipping Cost Function

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