The cost to produce x units of wire is C= 55x + 450, while the revenue is R= 80x. Find all intervals where the product will at l
1 answer:
Answer:
The interval where the product will at least break even is given by x ≥ 10.
In interval notation the interval will be denoted by [10, ∞).
Step-by-step explanation:
i) the cost to produce x units of wire is C = 55x + 450
ii) the Revenue is R = 80x
iii) therefore the product will at least break even when
the cost, C = the Revenue, R.
therefore 55x + 450 = 80x (80 - 35)x = 45x = 450 ∴x = 450 / 45 = 10.
iv) The interval where the product will at least break even is given by x ≥
10.
In interval notation the interval will be denoted by [10, ∞).
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Answer:
(x, y) = (-244/29, -80/29)
Step-by-step explanation:
A graph (2nd attachment) shows the solution to be non-integer values, so we'll use the "cross multiply method" to find the solution.
Rewriting the equations to general form gives ....
2x -9y -8 = 0
5x -8y +20 = 0
Writing the coefficients in two rows of four, we have the table as in the first attachment. (The first column is repeated as the 4th column.)
Now, the cross product differences are formed. Each "orange" cross product difference is the difference of the product of "blue" coefficients and the product of "yellow" coefficients. The same formula is copied to the right.
These difference numbers go, left to right, into the form ...
1/p1 = x/p2 = y/p3 . . . . . . where p1, p2, p3 are the cross product differences
In this problem, the solution is ...
x = -244/29 ≈ -8.414
y = -80/29 ≈ -2.759
