Question

A company sells two types of party pack: Excellent and Luxury. Each excellent pack has 5 balloons and each luxury pack has 10 balloons. Each excellent pack has 32 sweets and each luxury pack has 8 sweets. The company has 1500 balloons and 4000 sweets available. The company sells at least 50 of each type of pack and at least 140 packs in total. The company sells x excellent packs and y luxury packs. The company sells each excellent pack for 8 dollars and each luxury pack for 2 dollars. Find the company’s maximum total income and state the corresponding number of each type of pack that needs to be sold.​

Answer 1

50 luxury packs + 90 excellent packs

that is the maximum total income

income in this case comes out to be 50*2 + 90*8

this comes out to be 820 dollars

hope it helps

please mark as brainliest

Answer 2

Answer:

Corresponding Number: x + y ≥ 140

Maximum Income: (100, 100) $200

Minimum Income: (90, 50) $132

Step-by-step explanation:

5x + 10y ≤ 1500 => x + 2y ≤ 300

32x + 8y ≤ 4000 => 4x + y ≤ 500

y ≥ 50

x ≥ 50

x + y ≥ 140