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Digger Tech Inc manufactures and sells three products (Alpha, Beta and Gamma). The sales price and unit variable cost for the three products are as

Digger Tech Inc manufactures and sells three products (Alpha, Beta and Gamma). The sales price and unit variable cost for the three products are as follows:

Product

Sales price per unit ()

Variable cost per unit ()

Alpha

75

45

Beta

60

25

Gamma

55

15

Their sales mix is reflected as a ratio of 4(Alpha): 2(Beta): 1(Gamma). Annual fixed costs shared by the three products are 345,000 per year.

Required:

  1. Calculate the number of units of each product (with their current sales mix) that will need to be sold in order to break-even.
  2. What is their break-even point in sales ()?
  3. How could Digger Tech Inc improve profitability by changing its sales mix (either increasing or decreasing each product by 1 part, eg: 5(Alpha): 1(Beta): 1(Gamma)).
  4. What should Digger Tech Inc take into consideration before attempting to making any such change to their sales mix.

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