Final answer:
The Collins Corporation's current manufacturing cost is $35 per unit, as they need a $5 reduction to meet their target profit margin of 40% on a $50 sales price.
Step-by-step explanation:
The student has asked what the Collins Corporation's current manufacturing cost must be if it uses target costing, sells its product for $50 per unit, and seeks a profit margin of 40% of sales, but needs a $5 cost reduction to hit this target.
To find the current manufacturing cost, we first calculate the desired profit per unit by taking 40% of $50, which is $20. This means the target cost to achieve the desired profit margin should be $50 - $20 = $30. Since a $5 cost reduction is needed, the current manufacturing cost must be $30 + $5 = $35.