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2.1. The demand forecast for Mthembu Enterprises indicates significant growth over the next ten years and this requires the organization to build a new manufacturing

2.1. The demand forecast for Mthembu Enterprises indicates significant growth over the next ten years and this requires the organization to build a new manufacturing facility. There are three (3) potential sites, namely, KwaZulu Natal, Gauteng and Eastern Cape. The fixed and variable cost for each site is listed in the table below:

Potential Site Fixed Cost (Rs) Variable Cost (Rs)
KwaZulu Natal 900 000 75
Gauteng 1 500 000 55
Eastern Cape 2 000 000 45

Solve for crossover point KwaZulu Natal and Gauteng.

Solve for crossover point Gauteng and Eastern Cape.

Evaluate the optimum number of products for each site. (15)

2.2 The forecasting information for Siyafunda Trading is provided in the table below:

Month Actual Sales Units Year 2022
January 8025
February 7650
March 7950
April 6655
May 8452
June 10890
July 8665
August 12775
September 11980
October 14760
November 8730
December 6950

Calculate the 2023 forecast for Siyafunda Trading using the exponential smoothing forecasting technique with a smoothing constant of 0.3 and forecast for January 2022 sales of 9525 units. (10)

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