a manufacturer offers a 35/15 chain discount if the invoice subtotal is above $1,000. if the list price is…

a manufacturer offers a 35/15 chain discount if the invoice subtotal is above $1,000. if the list price is $140 per item, what is the total price of the first invoice that activates the chain discount?\n$?\nround to the nearest cent.

a manufacturer offers a 35/15 chain discount if the invoice subtotal is above $1,000. if the list price is $140 per item, what is the total price of the first invoice that activates the chain discount?\n$?\nround to the nearest cent.

Answer

Explanation:

Step1: Find the number of items to reach subtotal > $1000

Let ( n ) be the number of items. We need ( 140n > 1000 ). Solving for ( n ): ( n > \frac{1000}{140} \approx 7.14 ). So ( n = 8 ) (since we need the first invoice that activates the discount, we take the smallest integer ( n ) where ( 140n > 1000 )).

Step2: Calculate list price for 8 items

List price for 8 items: ( 140 \times 8 = 1120 ) dollars.

Step3: Apply first discount (35%)

After 35% discount, the price factor is ( 1 - 0.35 = 0.65 ). So price after first discount: ( 1120 \times 0.65 = 728 ) dollars.

Step4: Apply second discount (15%)

After 15% discount, the price factor is ( 1 - 0.15 = 0.85 ). So final price: ( 728 \times 0.85 = 618.8 ) dollars.

Answer:

( $618.80 )