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WP Company Produces Products X,Y,and Z from a Single Raw

question 15

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WP Company produces products X,Y,and Z from a single raw material input in a joint production process.Budgeted data for the next month is as follows:
 Units Produced  Per Unit Sales Value at Split-Off  Added Processing Costs per Unit  Per Unit Sales Value if Processed Further XYZ1,5002,0003,000$19$21$24$7$7.50$7$29$29$30\begin{array}{l}\begin{array}{lll}\\\text { Units Produced } \\\text { Per Unit Sales Value at Split-Off } \\\text { Added Processing Costs per Unit } \\\text { Per Unit Sales Value if Processed Further }\\\end{array}\begin{array}{lll}\underline { X } & \underline { Y } & \underline { Z }\\1,500 & 2,000 & 3,000 \\\$ 19 & \$ 21 & \$ 24 \\\$ 7 & \$ 7.50 & \$ 7 \\\$ 29 & \$ 29 & \$ 30\end{array}\end{array}
The cost of the joint raw material input is $149,000.Which of the products should be processed beyond the split-off point? XYZ A)   Yes  Yes  No  B)   No  Yes  No  C)   Yes  No  Yes  D)   No  Yes  Yes \begin{array}{lccc}& \mathrm { X } & \mathrm { Y } & \mathrm { Z } \\\text { A) } & \text { Yes } & \text { Yes } & \text { No } \\\text { B) } & \text { No } & \text { Yes } & \text { No } \\\text { C) } & \text { Yes } & \text { No } & \text { Yes } \\\text { D) } & \text { No } & \text { Yes } & \text { Yes }\end{array}


Definitions:

Cost-output Elasticity

Cost-output elasticity measures the responsiveness of the cost of production to changes in the quantity of output produced, indicating the scale economies in production.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output generally decreasing with increasing scale.

Marginal Cost

The expenditure required to produce an additional unit of a product.

Short-run Cost Function

An economic formula that describes how production costs change in the short term with varying levels of output, assuming some inputs are fixed.

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