Final answer:
The best location for the Vienna Company to set up a new production facility at a demand of 30,000 units is Miami, with the lowest total cost of $170,000.
Step-by-step explanation:
To determine which plant location is the best for the Vienna Company if the demand is 30,000 units, we need to calculate the total cost for each location by adding the fixed cost to the product of the unit variable cost and the number of units.
- Philadelphia: Total Cost = $25,000 + ($5 × 30,000) = $175,000
- Atlanta: Total Cost = $15,000 + ($6 × 30,000) = $195,000
- Miami: Total Cost = $50,000 + ($4 × 30,000) = $170,000
- Houston: Total Cost = $60,000 + ($7 × 30,000) = $270,000
It is cheaper to produce at the Miami plant with a total cost of $170,000.
Regarding the question of which city has no cost advantage, we would need more context to determine which factors, aside from cost, give an advantage to a location, such as market access, availability of skilled labor, regulatory environment, and other considerations impacting operational efficiency.