Star co. provides paper to smaller companies whose volumes are not large enough to warrant dealing directly with the paper mill. star receives 100-feet-wide paper rolls from the mill and cuts the rolls into smaller rolls of widths 12, 15, and 30 feet. the demands for these widths vary from week to week. the following cutting patterns have been established: number of: pattern 12ft. 15ft. 30ft. trim loss 1 0 0 3 10 ft. 2 0 6 0 10 ft. 3 3 4 0 4 ft. 4 3 0 2 4 ft. 5 2 5 0 1 ft. trim loss is the leftover paper from a pattern (e. g., for pattern 4, 3(12) + 0(15) + 2(30) = 96 feet used resulting in 100-96 = 4 foot of trim loss). demands this week are 5,672 12-foot rolls, 1,670 15-foot rolls, and 3,200 30-foot rolls. 1. develop an all-integer model that will determine how many 100-foot rolls to cut into each of the five patterns in order to meet demand and minimize trim loss (leftover paper from a pattern).

1.3.25 question suppose 40​% of all voters voted for a particular candidate. to simulate exit polls regarding whether or not voters voted for this​ candidate, five random samples of size 1010 and five random samples of size 10001000 have been generated using technology using a population proportion of 0.400.40​, with the accompanying results. complete parts a through c below. click the icon to view the simulation results. a. observe how the sample proportions of successes vary around 0.400.40. simulation compared to sample prop simulation compared to sample prop 1 ▾ 6 ▾ greater than 0.40 less than 0.40 equal to 0.40 2 ▾ less than 0.40 greater than 0.40 equal to 0.40 7 ▾ greater than 0.40 less than 0.40 equal to 0.40 3 ▾ greater than 0.40 less than 0.40 equal to 0.40 8 ▾ equal to 0.40 greater than 0.40 less than 0.40 4 ▾ greater than 0.40 equal to 0.40 less than 0.40 9 ▾ less than 0.40 greater than 0.40 equal to 0.40 5 ▾ equal to 0.40 less than 0.40 greater than 0.40 10 ▾ equal to 0.40 greater than 0.40 less than 0.40 click to select your answer(s) and then click check answer. 2 parts remaining clear all check answer