(inventory management) the daily demand for lemonade has a triangle density as follows: the demand is 0 outside of [40,60]; the density increases linearly (starting from 0) between 40 and 50 cups, and then decreases linearly between 50 and 60 (back to 0). the profit for lemonade is $1 per cup, and the cost to get rid of excess lemonade is 20 cents per cup. a. what is the optimal amount of lemonade to prepare at the beginning of the day? b. what is the standard deviation of the demand?

x + 4/7

step-by-step explanation:

use cymath

the answer is c.

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)