guitarkid583
New member
- Joined
- Oct 9, 2006
- Messages
- 4
Hey guys, this is a little long, but much help is appreciated.
Sam and Jim have a small bakery that makes two types of cookies: plain and iced. They need to decide how many dozens of each kind of cookies to make. One dozen plain cookies requires 1 pound of cookie dough and one dozen iced cookies requires .7 pounds of dough. Each dozen of iced cookies uses .4 pounds of icing. The plain cookies take .1 hours to prepare, and the iced cookies take .15 hours to prepare. They know all the cookies will be sold.
Limitations: They can only make up to 110 pounds of cookie dough. They have the ingredients to make up to 32 pounds of icing. They have a total of 15 hours for preparing the cookies.
X= number of dozens of plain cookies Y= number of dozens of iced cookies.
This is what I have done so for for the equations (tell me if I'm wrong):
Use of cookie dough: x + .7y ≤110
Use of icing: .4y ≤ 32
Preparation time: .1x + .15y ≤ 15
Number of cookies = x ≥ 0, y ≥ 0
Part 2
Jim and Sam sell the plain cookies for $6 a dozen and it costs $4.50 to make those cookies. The iced cookies sell for $7 a dozen and cost $5 a dozen to make. What is the profit expression for the cookies?
Part 3
Then I have to graph this, but I'm unsure of how to find the corner points or how to graph the equations themselves.
Thanks so much
Sam and Jim have a small bakery that makes two types of cookies: plain and iced. They need to decide how many dozens of each kind of cookies to make. One dozen plain cookies requires 1 pound of cookie dough and one dozen iced cookies requires .7 pounds of dough. Each dozen of iced cookies uses .4 pounds of icing. The plain cookies take .1 hours to prepare, and the iced cookies take .15 hours to prepare. They know all the cookies will be sold.
Limitations: They can only make up to 110 pounds of cookie dough. They have the ingredients to make up to 32 pounds of icing. They have a total of 15 hours for preparing the cookies.
X= number of dozens of plain cookies Y= number of dozens of iced cookies.
This is what I have done so for for the equations (tell me if I'm wrong):
Use of cookie dough: x + .7y ≤110
Use of icing: .4y ≤ 32
Preparation time: .1x + .15y ≤ 15
Number of cookies = x ≥ 0, y ≥ 0
Part 2
Jim and Sam sell the plain cookies for $6 a dozen and it costs $4.50 to make those cookies. The iced cookies sell for $7 a dozen and cost $5 a dozen to make. What is the profit expression for the cookies?
Part 3
Then I have to graph this, but I'm unsure of how to find the corner points or how to graph the equations themselves.
Thanks so much