The dean of the Western College of Business 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. How many undergraduate and graduate courses should be taught in the fall so that total faculty salaries are kept to a minimum?
1 answer:
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Answer: Option (d) is correct.
Explanation:
Amount paid for candy = $1,500
Items received = 8,500 pieces of candy
Group 1 = 2,500 pieces
Selling price = $0.15 each
sale value = pieces sold × Selling price
= 2,500 × $0.15 each
= $375
Group 2 = 5,500 pieces
Selling price = $0.36 each
sale value = pieces sold × Selling price
= 5,500 × $0.36 each
= $1,980
Group 3 = 500 pieces
Selling price = $0.72 each
sale value = pieces sold × Selling price
= 500 × $0.72 each
= $360
Total sale value = $375 + $1,980 + $360
= $2,715
= 72.92%
Proportion of cost for Group 2 = cost × Percentage of sale in Group 2
= $1,500 × 72.92%
= $1,093.8
= $0.1988
= $0.20(approx)