The shape of the graph is similar to the letter W; however, the region of interest will lie on the right of the origin, which means only the right half of the W(a negative number of cans cannot be produced). The profit produced will be maximized if the number of cans produced is greater than 3. The company will be at a loss if the number of cans produced is near 2.5. The break even situations are present if the company produces 2 or 3 cans.

4 0

2 years ago

6 use fermat’s theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 29. (

Ulleksa [173]

If

$x^{85}\equiv6\mod29$

then we have

$\dfrac{x^{85}}6\equiv1\mod29$

By Fermat's little theorem, if $a$ is not divisible by a prime $p$ , then

$a^{p-1}\equiv1\mod p$

This works for $x=6$ ; in this case, we would have

$\dfrac{6^{85}}6=6^{84}=\left(6^3\right)^{28}=\left(6^3\right)^{29-1}\equiv1\mod29$

7 0

2 years ago