Given that,
Total cost function, C (x) = 43x + $1850
The revenue function R (x) = $80x
To find,
The number of units that must be produced and sold to break even.
Solution,
At break even, cost = revenue
43x + $1850 = $80x
Subtract 80x from both sides.
43x + 1850 -80x = $80x -80x
1850 = 80x-43x
37x = 1850
x = 50
So, the required number of units are 50.
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(8*4*2/8*7)^2 x (8^0/7^-3)^3 x 7^-9
Simplify the equations:
(8*4*2/8*7)^2 = (64/56)^2 = (8/7)^2
(8^0/7^-3)^3 = (1/7^-3)^3 = 7^9
Now you have :
(8/7)^2 x 7^9 x 7^-9
Multiply 7^9 x 7^-9 by adding the exponents to get 7^0, which = 1
Now you have:
(8/7)^2 x 1
(8/7)^2 = (8x8) / (7x7) = 64/49
64/49 x 1 = 64/49
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