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Hardyke Group operates a local after-school recreation and activities program. The Education Department is a state governmental agency. Hardyke has an agreement with the Department to provide services to students in need for a nominal $1 per day, to be pald by the student. The government will relmburse Hardyke for the "cost" of providing dally services used by a student. The regular price to participate in the program is $6.10 per day. After analyzing its costs, Hardyke calculates that, with its operating deficit, the full cost of each student for a day is $8.60. All programs that Hardyke offers are unaffected by the number of students paying the nominal fee. Requlred: b. Which price would Hardyke Group prefer? Note: Enter your answer to 2 decimal places. c. Which price would the Education Department prefer? Note: Enter your answer to 2 decimal places. Leave no cells blank - be certaln to enter "0" wherever required. d. If Hardyke provides an average of 4,100 student-days for in-need children in a given month, what is the monthly value of the difference between the prices in full capacity