Bayview Corp. produces bicycle frames using two fiberglass materials that improve the strength-to-weight ratio of the frames. The cost of the standard grade material is P7.50 per yard and the cost of the professional grade material is P9.00 per yard. The standard and professional grade materials contain different amounts of fiberglass, carbon fiber, and Kevlar 25 shown in the following table: Standard Grade 84% 10% Professional Grade Fiberglass Carbon fiber Kevlar Bayview Corp. signed a contract with a bicycle manufacturer to produce a new frame with a carbon fiber content of at least 20% and a Kevlar content of not greater than 10%. To meet the required weight specification, a total of 30 yards of material must be used for each frame. 58% 30% 6% 12% infinite

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The distributor of the fiberglass material is currently overstocked with the
professional grade material. To reduce inventory, the distributor offered
Bayview Corp. the opportunity to purchase the professional grade for P8
per yard. Will the optimal solution change?
Bayview Corp. produces bicycle frames using two fiberglass materials that improve the strength-to-weight ratio of the
frames. The cost of the standard grade material is P7.50 per yard and the cost of the professional grade material is P9.00
per yard. The standard and professional grade materials contain different amounts of fiberglass, carbon fiber, and Kevlar
2s shown in the following table:
Standard Grade
Fiberglass
Carbon fiber
Professional Grade
58%
30%
84%
10%
Kevlar
Bayview Corp. signed a contract with a bicycle manufacturer to produce a new frame with a carbon fiber content of at
least 20% and a Kevlar content of not greater than 10%. To meet the required weight specification, a total of 30 yards of
material must be used for each frame.
6%
12%
O infinite
O cannot be determined
O yes
O no
Transcribed Image Text:The distributor of the fiberglass material is currently overstocked with the professional grade material. To reduce inventory, the distributor offered Bayview Corp. the opportunity to purchase the professional grade for P8 per yard. Will the optimal solution change? Bayview Corp. produces bicycle frames using two fiberglass materials that improve the strength-to-weight ratio of the frames. The cost of the standard grade material is P7.50 per yard and the cost of the professional grade material is P9.00 per yard. The standard and professional grade materials contain different amounts of fiberglass, carbon fiber, and Kevlar 2s shown in the following table: Standard Grade Fiberglass Carbon fiber Professional Grade 58% 30% 84% 10% Kevlar Bayview Corp. signed a contract with a bicycle manufacturer to produce a new frame with a carbon fiber content of at least 20% and a Kevlar content of not greater than 10%. To meet the required weight specification, a total of 30 yards of material must be used for each frame. 6% 12% O infinite O cannot be determined O yes O no
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