as the staff director of a new hospital, you are planning to hire cardiologists rehabilitation and infectious diseased specialists, according to recent data, each cardiology case averages $ 12,000 in revenue, each physical rehabilitation case $19,000, and each infectious diseased case, $14,000. you judge that each specialist you employed will expand the hospital caseload by about 10 patients per week. You already have 3 cardiologists and rehabilitation specialists bring in one government researched per year, while each infectious diseased specialist brings in three. Your board of directors would like your weekly revenue to be as large as possible. How many of each kind of specialist should you hire? a. State the LP in standard form, defining all variables? b. Solve the LP with the online solver and attach it. In a complete sentence, state your solution to the problem, How many of each kind of specialist should you hire? c. let's say you completely misjudged the number of patients each type of specialist would bring to the hospital per week. It turned out that each cardiologist brought in 120 new patients per year, each rehabilitation specialist brought in 40 per year, and each infectious disease brought in 40 per year. It also turned out that your hospital could deal with no more than 1,960 new patients per year. In the light of this corrected data, repeat the exercise in Parti