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# Answer to Question #115248 in Finance for Mohamed mokhtar

Question #115248
An irrigation canal contractor wants to determine whether he should purchase a new Caterpillar mini excavator or a used one. The initial cost of the new excavator is $26,500 and has a lifetime of 10 years. Fixed costs for insurance are expected to be$8,000 per year. The excavator will require one operator at $15 per hour and maintenance at$1 per hour. In 1 hour, 0.16 mile of ditch can be prepared.

Alternatively, the contractor can purchase the used one and hire 2 workers at $11 per hour each. The used excavator costs$1000 and has a useful life of 5 years with no salvage value. Its operating cost is expected to be \$1.20 per hour, and with the tiller, the two workers can prepare 0.04 mile of ditch in 1 hour.

Determine the number of miles of ditch per year the contractor would have to service for the two options to break even.
1
2020-05-12T10:34:14-0400

1.FC and VC new Caterpillar mini:

FC: "26500-26500\\times0.1+8000=31850"

VC: "\\frac{(15+1)}{0.16}=100"

2.FC and VC used one

FC:"1000*0.1=200"

VC:"\\frac{(2\\times11+1.20)}{0.04}=580"

let the number of miles of the ditch per year, then we make an equation for two break even options:

"31850+100\\times x=200+580\\times x"

"31650=480\\times x"

x=65.94 the number of miles of ditch per year

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