Find the sum of all the even integers from 12 to 1980

Mathematics

1 answer:

Jobisdone [24]3 years ago

5 0

Answer:

1961124

Step-by-step explanation:

The sum of consecutive positive integers from n1 to n2 is equal to:

n₁ + (n₁ + 1) + ... + n₂ = n₂(n₂ + 1) / 2 - n₁(n₁ - 1) / 2

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Step-by-step explanation:

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Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

Sphinxa [80]

Answer:

x=2.125

y=0

C=19.125

Step-by-step explanation:

To solve this problem we can use a graphical method, we start first noticing the restrictions $x\geq 0$ and $y\geq 0$ , which restricts the solution to be in the positive quadrant. Then we plot the first restriction $8x+10y\leq 17$ shown in purple, then we can plot the second one $11x+12y\leq 25$ shown in the second plot in green.

The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.

So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.