The marketing department is deciding which classes to offer over the summer. the classes under consideration are: courseintroduction to marketing retail marketing management marketing high technology business logistics international marketing marketing researchtyperequired elective required elective elective requiredthey are using an optimization model to determine which classes to offer. they have already formulated the objective function and need your with the constraints. a) define binary decision variables to use to make the following constraints. b) they would like to offer exactly 4 classes. c) they want to offer at least one required classes. d) they want to offer at most two electives. e) the same professor teaches both retail marketing management and marketing high technology, so they can

What is the area of triangle abc if a = 8, b = 11, and c = 15?

Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 .is he correct? explain why or why not

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