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Jenson Manufacturing Is Developing Cost Formula for Future Planning and Cost

question 47

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Jenson Manufacturing is developing cost formula for future planning and cost control.Utilities is one of the mixed costs associated with production.The cost analyst has suggested that units produced be used as the activity base to determine the fixed and variable costs and the cost formula for utility costs.The controller feels the most appropriate cost base is direct labour hours.Below is information collected over the past 8 months:
 Month  Units Produced  Direct Labour  Hours  Utilities Cost 11,100500$7,20029003006,50031,3004007,10041,5006007,50051,7201,00010,80061,70090010,00071,7008009,20081,6701,10012,000\begin{array}{|r|r|r|r|}\hline \text { Month } & \text { Units Produced } & \begin{array}{r}\text { Direct Labour } \\\text { Hours }\end{array} & \text { Utilities Cost } \\\hline 1 & 1,100 & 500 & \$ 7,200 \\\hline 2 & 900 & 300 & 6,500 \\\hline 3 & 1,300 & 400 & 7,100 \\\hline 4 & 1,500 & 600 & 7,500 \\\hline 5 & 1,720 & 1,000 & 10,800 \\\hline 6 & 1,700 & 900 & 10,000 \\\hline 7 & 1,700 & 800 & 9,200 \\\hline 8 & 1,670 & 1,100 & 12,000 \\\hline\end{array}
Required:
Use the least squares regression method to determine the cost formula for utilites cost assuming units produced is the independent variable.Calculate the R-squared.Use the same method to determine the cost formula and R-squared assuming direct labour hours is the independent variable.Use a spreadsheet or calculator to determine the slope and intercept.Do you recommend the company use units produced or direct labour hours as a cost base? Explain.
 Answer:  Units Produced  Direct Labour Hours  Intercept 1174.5597194074.166667 Slope 5.2548336716.733333333 R-squared 0.6801425440.962287567 Cost Formula Y=1174.56+5.25xY=4074.17+6.73x\begin{array}{|l|r|r|}\hline \text { Answer: } & \text { Units Produced } & \text { Direct Labour Hours } \\\hline \text { Intercept } & 1174.559719 & 4074.166667 \\\hline \text { Slope } & 5.254833671 & 6.733333333 \\\hline \text { R-squared } & 0.680142544 & 0.962287567 \\\hline \text { Cost Formula } & Y=1174.56+5.25 \mathrm{x} & \mathrm{Y}=4074.17+6.73x\\\hline\end{array}

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Definitions:

Sexual Dimorphism

The noticeable difference in appearance between males and females of the same species, beyond just the reproductive organs.

Male Traits

Characteristics, either physiological or behavioral, that are commonly seen in males of a species, often influenced by genetic and hormonal factors.

Hormonal Variance

Variations in the levels or activity of hormones in an organism, influencing a wide range of physiological and behavioral outcomes.

Microevolution

Change in allele frequency.

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