Module 5: Illustrative Examples

Qustion 5.5

Apex Ltd (AL) produces a product that sells for Mu 35,000 each. The variable costs are Mu 20,000 per unit and the fixed cost are Mu 600,000. AL can produce a maximum of 80 units per year. Currently AL is operating at 60 % capacity. It is contemplating the effects of reducing the selling price by Mu 2,000 per unit, adding a new feature that will increase the unit variable costs by Mu 1,000 and allocating an additional Mu 120,000 per year for aggressive promotion and advertising. These actions are expected to increase plant utilization to 90 %. Evaluate the alternatives .


Answer 5.5

Under the existing conditions
Break-even volume (B) = Fixed Cost (F)/(Unit Price(P)-Unit Variable Cost(V))
= 600,000 /(35,000- 20,000) = 40 units

AL is now selling 0.60 x 80 = 48 units, the gross annual profit (Z) is
Z= units sold in excess of B x unit contribution = (48-40) units x 15,000 = Mu 120,000

Under the Proposed conditions
New Break Even Volume (Bnew) = Fnew/(Pnew-Vnew)
Here Fnew = 600,000 + 120,000 = 720,000
Pnew = 35,000-2,000 = 33,000
Vnew= 20,000+1,000 = 21,000
Bnew = 720,000/(33,000-21,000)= 60 units

The gross profit at 90 % capacity (i.e new utilization = 0.90 x 80 = 72 units) will be Znew= [ 0.90 x 80 units - 60 units] x [ 33,000-21,000]
= (72-60) x [33,000-21,000]
=12 units x 12,000 = Mu 144,000

Thus, it may be advisable to go in for proposed action.
Prof.S.G.Deshmukh & Prof.Arun Kanda