need parts a & b please

Guif Coast Electronics is ready to award contracts to suppliers for providing reservolr capasdions for use in its electronic devices. For the past severa Years, Guif Coast Electronics has relied on two suppliers for its reservolr cagodtors: Able Controls and lysheriko industries. A new firm, Boston Components, has inquired into the possibility of previding a portion of the reservolr capactors needed by Gualf Coast. The qualty of products provided by Lyshenko industries has been extremely high; In tact, only 0.5% of the capacitors provided by tyshenko had to be discarded because of quality problems. Able Controls has also had a Migh quali ty level historically, producing an average of only iss unacceptable capactors. Because Gulf Coast Electronics has had no experience with Boston Components, it estimated Boston Components' defective rate to be 10%. Gulf Coast would like to determine how many reservolr capactors should be ordered from each firm to obtain 75,000 acceptable-qualty capacitors to use in its electronic devices. To ensure that Boston Components will recilve some of the contract, management specified that the volume of reservoir capactors awarded to Boston Components must be at least 10% of the volume given to Abie Controls. In addition, the total volume assigned to Boston Components, Able Controls, and tyshenico industries should not exceed 30,000,50,000, and 50,000 capacitors, respectively. Because of Gulf Coast's long-term relationship with Lyshenko industries, managernent also specified that at least 30,000 capacitors should be ordered from Lyshenico. The cost per capacitor is $2.45 for Boston Components, $2.50 for Able Controls, and $2.75 for Lyshenko Industries. (a) Formulate a linear program for determining how many reservoir capadtors should be ordered from each suppller to minimize the total cost of obtaining 75,000 acceptable-quality reservoir capacitors. (Let B= number of capactors ordered from Boston Components, A = number of capacitors ordered from Able Controls, and L = number of capactors ordered from tyshenico industries.) Min Check which variable(s) should be in your answer. volume for Able (b) Suppose that the quality level for reservoir capacitors supplied by Boston Components is much better than estimated, with a defective rate 2\%. What effect, if any, would this quality level have? The optimal solution would change, with Lyshenko Industries being assigned the maximum of 50,000 reservoir capacitors. The optimal solution would change, with 7,526 reservoir capacitors assigned to Boston Components. The optimal solution would change, with 30,000 reservolr capacitors assigned to Bostan Components. The optimal solution would remain the same. (c) Suppose that management is willing to reconsider their requirement that at least 30,000 capacitors must be ordered from Lyshenko Industries. What effect, if any, would this consideration have on the solution in part (a)? The total cost will decrease about $0.16 for every unit the required minimum is reduced by, for at least 25,440 capacitors The total cost will decrease about $0.22 for every unit the required minimum is reduced by, for at least 21,106 capacitors. The total cost will decrease about $2.54 for every unit the required minimum is reduced by, with no lower limit on how much the required minimum can be reduced. Reducing the requirement will not change the total cost of obtaining the reservoir capacitors