SOLUTION: Solve the followings : 1)A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of $40 per chip

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Question 136259: Solve the followings :

1)A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of $40 per chip, and sell them for $65 per chip. They also find that they can produce 125,000 chips per week at a cost of $35 per chip, and sell them for $63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week?

2)Find the area of a rectangle if three of its corners are (-0.1,-3.4), (-7.9,-3.4), and (-0.1,6.8).
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
I can plot this data on a straight line, otherwise called
a linear plot. The problem doesn't say I can do this, but
it doesn't exclude it either, and it's the simplest thing
to do. I'm going to plot both cost/chip
and price/chip vs chips produced/wk
In plotting, the vertical axis is always the data that
RESULTS when changes are made on the x-axis.
So, the y-axis is cost/chip and price/chip. The x-axis is chips
produced/wk. I can plot 2 points for cost and 2 points for price
which gives me 2 straight lines.
---------------
For cost/chip:
First point:

Second point:

---------------
For price/chip:
first point:

Second point:

---------------
I use the formula

I'll scale the x-axis so 1 unit = 10000 units
----------------
For cost/chip vs production/wk

For price/chip vs production/wk

One way to check these lines is to plot them

At 13,000 chips/wk (13 on the graph), the profit is the difference
in the y-coordinates (price - cost)
cost:

price:

price - cost =
The profit at 130,000 chips/wk is $28.60 /chip