Constraints $$ include labels and appropriate dimensional analysis $(11$ pts each constraint$)$

$-$ Aidan: X$11+$ X$12+$ X$13<=176$

$-$ Max: X$21+$ X$22+$ X$23<=176$

$-$ Elena: X$31+$ X$32+$ X$33<=136$

$-$ Client $(1)$: X$11+$ X$21+$ X$31=190$

$-$ Client $(2)$: X$12+$ X$22+$ X$32=125$

$-$ Client $(3)$: X$13+$ X$23+$ X$33=160$

$-$ Non $$ Negativity: Xij $>=0$ for all i and j$.$

Put your problem above into solver and solve it$.(50$ pts$)$ Include your answer and sensitivity reports as usual. $(2$ pts$.)$

Answer the following questions:

How many hours will each consultant work for each client? $(27$ pts$.$ make sure to label and not just give numbers$)$

What is the total amount the company can bill if all three proposals are accepted?

What is the amount that will be cited for the project cost in each proposal? $($Hint: Who is working for that client, what is the billing rate and the total hours the employee$($s$)$ will work for the client if the proposal is accepted. You can figure out the amount put in the proposal from that information.$)$

Will any of the consultants have $$slack$$ or $$surplus$$ hours? $($will it be slack or surplus and why $2$ pts$.)$ In other words, will there be a consultant who will not be assigned $$billable time$$ during the month of April even though available to work those hours? $(1$ pt$.)$ Who is it and how many hours will they be lacking billable work? $(2$ pts