Problem 3-31 (Algorithmic) 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 Lyshenlco Industries. A new finn. 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 0.6% of capacitors provided by Lyshenlco had to be discarded because of quaiity problems. Able Controls has also had a high quality ievel historically. producing an average of only 2% unacceptable capacitors. Because Gulf Coast Electronics has had no experience with Boston Components. it estimated Boston Components' defective late to be 12%. GuifCoastwould like to determine how many reservoir capacitors should be ordered from each rm to obtain T6000 acceptable- quality capacitors to use in its electronic devices. To ensure that Boston Components will receive so me of the contract. management specied that the volume of reservoir capacitors awarded to Boston Components must be at least 12% of the volume given to Able Controls. In addition. the total volume assigned to Boston Components. Able Controls. and Lyshenlco Industries should not exceed 32000. 49500. and 50500 capacitors. respectively. Because of Gulf Coast's Iongte rm relationship with Lyshenko Industries. management also specied that at least 32000 reports should be ordered from Lyshenko. The cost per capacitor is $2.35 for Boston Components. 32.55 for Able Controls. and 82.8 for Lyshenko Industries. Formulate and solve a linear program for determining how many reservoir capacitors should be ordered from each supplier to minimize Hie total cost of obiaining 75.000 acceptablequality reservoir capacitors. For subtlactive or negative numbers use a minus sign even if there is a + sign before the blank. Enter "0" if your answer iszero. If the consiant is "1" it must be entered in the box. Let B = number of capacitors ordered from Boston Components Let A = number of capacitors ordered from Able Controls Let I. = number of capacitors ordered from Lyshenko Industries -I-I-I-_