(Solved): [3.4/20 Points] CAMMIMS16 3.E.031. PREVIOUS ANSWERS Gulf Coast Electronics is ready to award contrac ...

[3.4/20 Points] CAMMIMS16 3.E.031. PREVIOUS ANSWERS Gulf Coast Electronics is ready to award contracts to suppliers for providing reservoir capacitors for use in its electronic devices. For the past several years, Gulf Coast Electronics has relied on two suppliers for its reservoir capacitors: Able Controls and Lyshenko Industries. A new firm, Boston Components, has inquired into the possibility of providing a portion of the reservoir capacitors needed by Gulf Coast. The quality of products provided by Lyshenko Industries has been extremely high; in fact, only

of the capacitors provided by Lyshenko had to be discarded because of quality problems. Able Controls has also had a high quality level historically, producing an average of only

unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components' defective rate to be

. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use in its electronic devices. To ensure that Boston Components will receive some of the contract, management specified that the volume of reservoir capacitors awarded to Boston Components must be at least

of the volume given to Able Controls. In addition, the total volume assigned to Boston Components, Able Controls, and Lyshenko Industries should not exceed

, and 50,000 capacitors, respectively. Because of Gulf Coast's long-term relationship with Lyshenko Industries, management also specified that at least 30,000 capacitors should be ordered from tyshenko. The cost per capacitor is

for Boston Components,

for Able Controls, and

for Lyshenko Industries. (a) Formulate a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimire the total cost of obtaining 75,000 acceptable-quality reservelr capacitors. (Let 8 - number of capacitors ordered from Boston Components, A - number of capactors ordered from Abte Controls, and L. - number of capacitors ordered from tyshenko Industries.) Min

s.t. volume for Boston volume for Able volume for Lyshenko useful capacitors

Boston relative to Able

of quality problems. Able Controls has also had a high quality level historically, producing an average of only

unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components' defective rate to be

. Gulf Coast would like to determine how many reservoir capacitors should be ordered from each firm to obtain 75,000 acceptable-quality capacitors to use in its electronic devices. To ensure that Boston Components will receive some of the contract, management specified that the volume of reservoir capacitors awarded to Boston Components must be at least

of the volume given to Able Controls. In addition, the total volume assigned to Boston Components, Able Controls, and Lyshenko Industries should not exceed

, and 50,000 capacitors, respectively. Because of Gulf Coast's long-term relationship with Lyshenko Industries, management also specified that at least 30,000 capacitors should be ordered from Lyshenko. The cost per capacitor is

for Boston Components,

for Able Controls, and $2.75 for Lyshenko Industries. (a) Formulate a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors. (Let

number of capacitors ordered from Boston Components, A = number of capacitors ordered from Able Controls, and

number of capacitors ordered from Lyshenko Industries.) \table[[Min,],[s.t.,],[volume for Boston,],[volume for Able,],[volume for Lyshenko,],[# useful capacitors,],[Boston relative to Able,],[Lyshenko minimum,]]

Solve the linear program to determine how many reservair capacitors should be ordered from each supplier. (Round your answers to the nearest integer.) Boston Components

capacitors Able Controls capacitors Lysherko Industries

capacitors