a manufacturer offers a 40/20 chain discount if the invoice subtotal is above $1,000. if the list price is…

Explanation:

Step1: Determine the number of items to reach the subtotal threshold

The chain - discount is activated when the invoice subtotal is above $1000. Since the list price per item is $75, we find the number of items $n$ needed. Let $n$ be the number of items. We use the formula $n=\frac{1000}{75}\approx13.33$. Since we can't have a fraction of an item, we take $n = 14$ items.

Step2: Calculate the total price before discount

The list price per item is $75, and for $n = 14$ items, the total price before discount $P$ is $P=75\times14 = 1050$.

Step3: Apply the first discount

The first discount is 40%. The price after the first discount $P_1$ is calculated as $P_1=(1 - 0.40)\times P$. Substituting $P = 1050$, we get $P_1=0.60\times1050 = 630$.

Step4: Apply the second discount

The second discount is 20%. The price after the second discount $P_2$ is calculated as $P_2=(1 - 0.20)\times P_1$. Substituting $P_1 = 630$, we get $P_2=0.80\times630=504$.

Answer:

$504.00$