A university wants to build two dorms: Bcarcat Hall and Senator's Square. They need to build at least 700 new rooms. The rooms in Bearcat Hall will hold 2 students per room and cost $4200 per room to build and generate S7500 per semester per room in revenue. Senator's Square will hold 3 students per room and cost $2600 per room to build and generate $4100 dollars per
semester per room in revenue. The school must not exceed their budget of $2,700,000, but they also need to house at least 1920 students. They need to determine how many rooms should be in
cach dormitory in order to maximize their revenue from these new dorms.
a. (I points) Specify the variables you will use and what they will represent.
b. (4 points) Write the inequalities that represent the constraints in this problem.
C. (2 points) Write the function that must be maximized. Maximize:

Carmen begins her next painting on a rectangular canvas that is 82.7 cm long and has a area of 8,137.68 cm2. will the painting fit in a frame with an opening that is 82.7 cm long and 95 cm wide? explain

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

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