SOLUTION: The Boards and Blades Company manufactures skateboards and​ in-line skates. The company can produce a maximum of 19 skateboards and pairs of​ in-line skates per day. It makes a

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Question 1147004: The Boards and Blades Company manufactures skateboards and​ in-line skates. The company can produce a maximum of 19 skateboards and pairs of​ in-line skates per day. It makes a profit of ​$30 on a skateboard and a profit of ​$25 on a pair of​ in-line skates. The​ company's planners want to make at least 5 skateboards but not more than 8 skateboards per day. To keep customers​ happy, they must make at least 4 pairs of​ in-line skates per day. Answer parts​ (a) through​ (f).
​a) List the constraints. Let x represent the number of skateboards and let y represent the number of​ in-line skates produced per day.
A.y greater than or equals 4
B.30xplus25yless than or equals 0
C.x less than or equals 8
D.x plus y less than or equals 19
E.xgreater than or equals 5
F. 30xminus25ygreater than or equals 0

Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since you want me to evaluate if your constraints are correct, I do it in my response.

Since you do not ask me to write correct constraints where yours are wrong, I do not make it. 


A.  correct.


B.  wrong.  


C.  correct.


D.  correct.


E.  correct.


F.  wrong.

To help you to learn the subject better, I can give you the reference to my lesson on the Linear Programming method.  It is
    - Solving minimax problems by the Linear Programming method
in this site.

Read it --- you will be in much more advanced position then to better understand the method.

After reading my lesson, try solve your problem again.

Post then your updated results to the forum - I will check it here and will give you my feedback.


Happy learning (!)


Come again soon (!)



Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Strictly speaking, and in math we speak strictly, there are no parts (a) through (f).
There are parts A through F
A is not the same as a.
F is not the same as f.