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Refer to the Kellerman Detailing Service Information Below Most of the Car Detailing Is Done by Hand

question 58

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Refer to the Kellerman Detailing Service information below.
Kellerman Detailing Service
Kellerman Detailing Service provides two types of car detailing packages: the standard and the deluxe. Selected data related to each package is as follows:
 Standard Deluxe  Sales price $85$200 Direct materials 510 Direct labour 1540 Variable overhead 515 Direct labour hours 23\begin{array}{lrr}&\text { Standard}&\text { Deluxe }\\\text { Sales price } & \$ 85 & \$ 200 \\\text { Direct materials } & 5 & 10 \\\text { Direct labour } & 15 & 40 \\\text { Variable overhead } & 5 & 15 \\\text { Direct labour hours } & 2 & 3\end{array}

Most of the car detailing is done by hand.
-For the upcoming year,there is a maximum of 4050 direct labour hours available.Management believes that the demand for both the standard and deluxe detailing is limited to 900 each per year.How many standard and deluxe detailing jobs should be sold in the upcoming year in order to maximise profits?


Definitions:

Nucleophilic Acyl Substitution

A chemical reaction in which an acyl group on a molecule is replaced by a nucleophile, a process common in organic synthesis.

Carboxylic Acid

Organic compounds characterized by the presence of a carboxyl group (-COOH), with acidic properties, making them able to donate a hydrogen ion to solutions.

Butanenitrile

An organic molecule also known as butyronitrile, a nitrile derivative of butane.

Wavenumber

A unit of frequency used in spectroscopy, representing the number of waves per unit distance.

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