Question

A grocery chain is interested in exploring the impact effective supply chain management would have. Suppose that for every $1 of sales, 4% is profit, 50% is spent in the supply chain, and the remaining 46% is evenly divided between fixed and production costs. If the chain can save $1 in the supply chain, it would take how many dollars of increased sales to have the same increase in profit? Assume that fixed costs are fixed so that the portion of increased sales allocated to fixed costs is instead profit (27% profit margin combined now).

Answer 1

$3.70

Step-by-step explanation:

In this question we have to assume the items values

Let say

Sales = $100

So supply chain it spends 50% i.e $50

Profit is 4% i.e $4

Since the 46% is dividend among fixed and production costs

So the fixed cost is $23 and variable cost is $23

Now if the sales increase by $X, the revenue will increase by X.

So it would also increased the cost by X × (0.5+0.23)

And in overall, the profit is also increased

Plus it is given that there is 27% profit margin

So, the equation is

0.27X = 1

Therefore X = $3.70 with additional profit of $1