Final answer:
A decrease of 54.95% in supply chain costs is required to yield a profit of $28,200. The cost of material with a $28,200 profit is $231,340.
Step-by-step explanation:
To determine the percentage improvement needed in the supply chain strategy for the profit to improve to $28,200, we need to calculate the current profit and the required improvement. From the given information, the profit is $18,200, which is 7% of the sales. We can use this information to calculate the current sales:
Sales = Profit / Profit Margin
Sales = $18,200 / 7% = $260,000
Now, we can calculate the required improvement in profit:
Required Improvement = Target Profit - Current Profit
Required Improvement = $28,200 - $18,200 = $10,000
To find the percentage improvement, we can use the following formula:
Percentage Improvement = (Required Improvement / Current Profit) * 100
Percentage Improvement = ($10,000 / $18,200) * 100 = 54.95%
Therefore, a decrease of 54.95% in supply chain costs is required to yield a profit of $28,200.
To find the cost of material with a $28,200 profit, we can use the profit margin:
Profit Margin = Profit / Sales
Profit Margin = $28,200 / $260,000 = 10.85%
We can now calculate the cost of material:
Cost of Material = Sales * (1 - Profit Margin)
Cost of Material = $260,000 * (1 - 10.85%)
Cost of Material = $260,000 * (1 - 0.1085) = $231,340