SOLUTION: a company makes two types of cat food. the first costs $0.35 per can, provides 15 units of vitamin A, and contains 80 calories. The second type costs $0.28 per can, provides 30 uni

Question 245762: a company makes two types of cat food. the first costs $0.35 per can, provides 15 units of vitamin A, and contains 80 calories. The second type costs $0.28 per can, provides 30 units of Vitamin A, and contains 60 calories. The vet recommends that Max get at least 900 units of vitamin A per month and at least 2400 calories. Determine how many cans of each type of cat food should be purchased to minimize the cost if Max's owner can store no more than 50 cans of food. What is the minimum cost?
Answer by TheProdicalSon(34) (Show Source): You can put this solution on YOUR website!
Here, sorry I didn't explain it last night, i was tired and it was my last question so I just did it in my head.
b + a > 50
15a + 30b > 900 (vitamans)
80a + 60b > 2400 (calories)
-30a - 60b < -1800
50a > 600
a < or = 12
180 + 30b > 900
30b > 720
b > or = 24
You could graph that, but I just used trial and error and found that 10 and 25 was the best combination.

25 B
10 A
RELATED QUESTIONS
this time, our immune system is the best defense . With this, a Melegail wishes to mix... (answered by CPhill)

A pharmacist has two vitamin-supplement powders. The first powder is 10% vitamin B1 and... (answered by josgarithmetic)

An individual needs a daily supplement of at least 510 units of vitamin C and 266 of... (answered by math_tutor2020,Theo,ikleyn)

Woofer Pet Foods produces a low-calorie dog food for overweight dogs. This product is... (answered by CPhill,ikleyn)

Finicky-Cat Gourmet Pet Food makes organic cat food and sells them in 2 kg bags. The... (answered by solver91311)

A pharmacist has two vitamin-supplement powders. The first powder is 15% vitamin B1 and... (answered by josgarithmetic)

An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each... (answered by ikleyn)

A pharmacist has two vitamin-supplement powders. The first powder is 5% vitamin B1 and... (answered by josgarithmetic)

Please HELP with homework problem!! A dietitian designs a special dietary supplement... (answered by Theo)