An article reports that a sample of 220 juvenile rainbow trout fed a diet fortified with equal amounts of the amino acids taurine and methionine for a period of 70 days had a mean weight gain of 313% with a standard deviation of 25, while 220 fish fed with a control diet had a mean weight gain of 233% with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets. (Round the final answers to two decimal places.)

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204