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Part $1$

Guadalupe$$ Electric, Inc. must replace a robotic Mig welder and is evaluating two alternatives. Machine A has a fixed cost for the first year of $$$$72$ comma $000$ and a variable cost of $$$$14,$ with a capacity of $20$ comma $000$ units per year. Machine B is$$ slower, with a speed of$$ one$-$half of$$ A$\text{'}$s$,$ but the fixed cost is only $$$$54$ comma $000.$ The variable cost will be$$ higher, at $$$$19$ per unit. Each unit is expected to sell for $$$$27.$

Part $2$

$$a$)$ What is the crossover point$($point of$$ indifference$)$ for the two$$ machines?

The crossover point for the two machines is

$$

enter your response here units. $($Round your response to the nearest whole$$ number.$)$

$$

b

$)$

$$What is the range of units for which machine A is

$$

$$preferable$?$

Calculate the annual profit

$$

$($

loss

$)$

$$if machine A is used and

$3$

$$comma

$2$

$0$

$0$

$$units are produced.