Question

a firm plans to begin production of a new small appliance. The manager has three options:...

a firm plans to begin production of a new small appliance. The manager has three options:

Option 1: purchase the motors for the appliance from a vendor at $6 each

Option 2: produce them in house using technology A with an annual fixed cost of $15000 and a variable cost of $4 per unit; or

Option 3: produce them in house using technology B with an annual fixed cost of $20000 ad a variable cost of $2 per unit.

The range of output for which option 1 is best is _____ units

The range of output for which option 2 is best is _____ units

The range of output for which option 3 is best is _____ units

Round to the nearest integer, no decimals

Enter the range a ####-####, for example 47500-92000,

if an option is outperformed by other options enter never

for an open ended range use INFINITY, for example: 47500-INFINITY

if an option is good only at one point just enter the value of the output, for example 8750

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Answer #1

We chose the best option based on lowest total cost.We vary the Quantity in the excel cell and find the ranges.

Option 1:

Total cost =Number of units *Variable cost per unit=Number of units *6

The range of output for which option 1 is best is 1 - 6666

Option 2:

Total cost =Fixed cost +Number of units *Variable cost per unit=15000+Number of units *4

The range of output for which option 2  is best is NEVER

(This option is always higher than the other options for any input units)

Option 3:

Total cost =Fixed cost +Number of units *Variable cost per unit=20000+Number of units *2

The range of output for which option 3 is best is 6667 - INFINITY

fxE2*5 E7 A B C E E G 1 Quantity 2 6666 Option 1 Option 2 Option 3 15000 Annual fixed cost 4. 0 20000 Variable cost 5 6 4 2 C

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