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Part $1$

Wolfgang Kersten Mfg$.$ intends to increase capacity through the addition of new equipment. Two vendors have presented proposals. The fixed costs for proposal X are $$$$140$ comma $000140,000,$ and for proposal$$ Y$,$$$230$ comma $000230,000.$ The variable cost for X is $$$$250\mathrm{.}00250\mathrm{.}00,$ and for$$ Y$,$$$225\mathrm{.}00225\mathrm{.}00.$ The revenue generated by each unit is $$$$300\mathrm{.}00300\mathrm{.}00.$

Part $2$

The two alternatives would yield the same profit$($loss$)$ if the volume of outputequals$=$enter your response here units $($enter your response as a whole$$ number$).$