(Western College) The dean of the Western College must plan the school's course offerings for the fall semester. Student demands make it necessary to offer at least 30 undergraduate and 20 graduate courses in the term. Faculty contracts also dictate that at least 60 courses be offered in total. Each undergraduate course taught costs the college an average of $2,500 in faculty wages, and each graduate course costs $3,000. Formulate an LP to find the best combination of undergraduate and graduate courses for the lowest total salary.

minpX₁ +qX₂(Total cost)

s.t. X₁u (Undergraduate courses)

X₂v (Graduate courses) X₁ + X₂w (Total courses) X₁,X₂ 0

(Western College) Find the objective coefficients and right-hand-sides (RHSs).

(a) The objective coefficient (p) is ___. [Answer format: integer]

(b) The objective coefficient (q) is ___. [Answer format: integer]

(c) The RHS (u) is ___. [Answer format: integer]

(d) The RHS (v) is ___. [Answer format integer]

(e) The RHS (w) is ___. [Answer format integer]

Write your answer(s) as 1234, 1234, 12, 12, 12