a manufacturer offers a 25/20 chain discount if the invoice subtotal is above $1,000. if the list price is…

Explanation:

Step1: Calculate price after first - discount

The first discount is 25%. The price after the first discount of an item with list price $L = 75$ is $P_1=(1 - 0.25)L$. $P_1 = 0.75\times75=56.25$

Step2: Calculate price after second - discount

The second discount is 20%. The price after the second discount of an item with price $P_1$ is $P_2=(1 - 0.20)P_1$. $P_2 = 0.8\times56.25 = 45$

Step3: Determine number of items to reach subtotal

The chain - discount is activated when the invoice subtotal is above $1000$. Let the number of items be $n$. We know that the subtotal $S = P_2n$. We want to find $n$ such that $S>1000$, so $n=\frac{1000}{45}\approx22.22$. Since we can't buy a fraction of an item, $n = 23$.

Step4: Calculate total price

The total price of $n = 23$ items at the discounted price of $P_2 = 45$ per item is $T=45\times23 = 1035$

Answer:

$1035.00$