Answer:
To minimize their costs, Beach Cruises should print 80 brochures and 130 fliers.
Explanation:
Total number of sheets available = 500 sheets
For brochures;
1 brochure contains 3 pages
Minimum number of brochures that should be printed = 80
Cost of 1 brochure = 10 cents
Number of sheets required to print 80 brochures = 80 × 3 = 240 sheets
For fliers;
1 flier contains 2 pages
Minimum number of fliers to be printed = 100
cost of 1 flier = 6 cents
Number of sheets required to print 100 fliers = 100 × 2 = 200 sheets
Total number of sheets that will be used to print at least 80 brochures and 100 fliers = 240 + 200 = 440 sheets
number of sheets left = 500 - 440 = 60 sheets
After Beach cruises have printed the minimum required 80 brochures and 100 fliers, they are left with 60 free sheets of paper.
Since it is cheaper for Beach cruises to print fliers (at 6 cent per flier) than brochures (at 10 cent per brochure), then it is advisable to use the remaining 60 sheets to print fliers, so as to minimize costs.
Since 1 flier contains 2 pages,
with 60 sheets, the number of fliers that can be printed = 60/2 = 30 fliers
cost of 30 fliers = 30 × 6 cents = 180 cents
If the remaining 60 sheets are used to print brochures;
1 brochure has 3 pages,
therefore number of brochures to be printed = 60/3 = 20 brochures
cost of 20 brochures = 20 × 10 cents = 200 cents
This is why it is cheaper to print extra fliers at 180 cents.
Therefore total number of prints will be;
Brochures = 80
Fliers = 100 + 30 =130