The following table shows observed electrical power consumption at several different levels of a factory's operation. Level 2 3 5 7 Power 1 3 3 5 Engineers want to fit the estimating relationship power = Bo + B1 · level to these data in a way that minimizes the sum of the absolute deviations between predicted and observed power requirements. Both parameters Bo and 31 should be nonnegative. Part I (10 points): Formulate an LP to choose optimal parameter values. Part II (5 points): Solve the LP using Matlab (linprog). Provide i) the optimal solution; ii) the optimal objective value; and iii) the matlab script used to solve the problem. Part III (10 + 5 points): Repeat the previous two steps, this time choosing a fit that minimizes the macimum deviation between observed and predicted power.

Jaina and tomas are being considered as new tenants in an apartment. the landlord looks at their creditworthiness because he wants to be sure his new tenant pays the rent on time and in full. the table below summarizes the information that was on their applications. application information questions jaina tomas how many years have you had your job? 5 2 what is your monthly salary? $1,850 $2,500 how many credit cards do you have? 4 1 how much debt do you have? $13,000 $7,000 how many times were you late with payments on credit cards in the past year? 5 1 who will the landlord decide to be more creditworthy and why? tomas because the ratio of his debt to income is less. jaina because she has had her job longer, which makes her look more stable. jaina because she has more credit cards available to her. tomas because he makes more money per month.