For the Big-M tableau (of a maximization LP and row0 at bottom and M=1000), Z Ꮖ 1 x2 x3 81 82 83 e4 a4 RHS 0 7 0 0 1 0 4 3 -3 20 0 -4.5 0 0 0 1 -8 -2.5 2.5 6 0 7 0 1 0 0 8 3 -3 4 0 -1 50 1 0 0 0-2 -1 1 4 0000 0 30 970 200 If the original value of c₁ is increased by 60, what is the updated value of c₁ (meaning keeping the same set for BV. -10? Having made that change, what is the new optimal value for ž?

Find the vertex of the graph of the quadratic function f(x)=2(x+5)24.

Find the slpoe of the line: y=7

Find the linearzation to appraximate (1.999)^3

Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x + 356.467x + 5332.618, where x is the number of years after 1980. During what years does this model indicate that sales would be at least 6 billion? The sales are at least 6 billion for the years through (Round up to the nearest year as needed.)

A theater finds that there is a correlation between the number of ice cream flavors offered at its food stand and the number of tickets they sell for a show, which can be modeled by the function S(n) =-4n^2 + 192n + 5 where n is the number of ice cream flavors and S(n) is the number of tickets sold. What number of ice cream flavors should be available in order to maximize the number of tickets sold?

At the BMV, suppose that the length of time you must wait before speaking to a customer service representative is linearly related to the number of people who are in line in front of you. If there are 8 people in line in front of you, you will wait 44 minutes, and if there are 14 people in front of you, you will wait 68 minutes. How long will you wait if there are 10 people in front of you?