Question

Please help with this project :(

You must design a business plan that presents the following information to a board of investors looking to invest in your company. You should include:

The name of your company
The type of business (i.e., clothing, electronics, furniture, etc.)
Two products your company will make
Assign variables to the two products; please use x and y
A system of inequalities based on the following information
Produce at least 30 of product #1.
Produce at least 20 of product #2.
Product #1 costs $3 per unit to make.
Product #2 $5 per unit to make.

Answer 1

The total production cost cannot exceed $340.
Graph the system of inequalities
Label the lines, points of intersection, and axis.
Show the shaded solution of the three inequalities and explain what it represents.
If Product #1 earns a profit of $10 per unit and Product #2 earns a profit of $15 per unit, find the combination of Product #1 and Product #2 that will maximize profit.

Answer 2

I'll have a clothing company, not sure of the name yet, and the products will be dresses and shorts.

Answer 3

Ok so lets call your comapny as ABC. where are you stuck?

Answer 4

Just the whole thing. It seems so complicated, I just want someone to walk me through it.

Answer 5

K so lets start with the products...your company has two products x,y . now there are few conditions given in the question which your product should match

Answer 6

Lets start with the first part can you make a condition to express
at least 30 units of product #1.are produced ?

Answer 7

Huh?

Answer 8

did you understand the question? In the question there are different conditions which your product has to satisfy. The first one says that at least 30 units of product #1.are produced Now you have express this in terms of x (number of units produced for product #1)

Answer 9

30x?

Answer 10

NO as x is the number of units of product #1 we will get x >= 30

Answer 11

Oh okay I get that now

Answer 12

can you make other equations?

Answer 13

What do you mean?

Answer 14

Now you have to make a similar eq for product 2
at least 20 of product #2.

Answer 15

y is greater than or equal 20? since it says at least?

Answer 16

Yes Good! Now can you make equation for other sentencesin the question?

Answer 17

I'm trying but it doesn't seem right.. I seem stupid I'm just really bad at this.

Answer 18

we know the cost of both products
Product #1 costs $3 per unit to make.
Product #2 $5 per unit to make.
Also it is given that The total production cost cannot exceed $340.
so 3x+4y < 340

Answer 19

Now plot it

Answer 20

Oh I thought it would be 3x and 4y, I wasn't wrong. Plot it..? On the graph? How?

Answer 21

@ankit042

Answer 22

Someone help????