A company makes two mixtures of nuts: mixture A and mixture B. Mixture A contains 30% peanuts, 30% almonds and 40% cashews and sells for $5 per pound. Mixture B contains 30% peanuts, 60% almonds and 10% cashews and sells for $3 a pound. The company has 540 pounds of peanuts, 900 pounds of almonds, 480 pounds of cashews. What is the companies maximum profit from selling both mixture A and mixture B?

1,000 pounds of mixture A

800 pounds of mixture B

maximum profit = $7,400

Step-by-step explanation:

mixture A = 0.3P + 0.3A + 0.4C

mixture B = 0.3P + 0.6A + 0.1C

maximize = 5A + 3B

0.3A + 0.3B ≤ 540

0.3A + 0.6B ≤ 900

0.4A + 0.1B ≤ 480

A ≥ 0

B ≥ 0

using solver, the optimal solution is: 1,000A + 800B = $7,400 maximum profit

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

50

step-by-step explanation: