CAMMIMS16 4.E.003. A linear programming computer package is needed. The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows. The credit union will have $2,400,000 available for investment during the coming year. State laws and credit union policies impose the following restrictions on the composition of the loans and investments. - Risk-free securities may not exceed 30% of the total funds available for investment. - Signature loans may not exceed 10\% of the funds invested in all loans (automobile, furniture, other secured, and signature loans). - Furniture loans plus other secured loans may not exceed the automobile loans. - Other secured loans plus signature loans may not exceed the funds invested in risk-free securities. How should the $2,400,000 be allocated to each of the loan/investment alternatives to maximize total annual return? Automobile loans \$\$ Furniture loans \$ Other secured loans \$ Signature loans \$ Risk-free securities \$ What is the projected total annual return? CAMMIMS16 4.E.011. A linear programming computer package is needed. the company's needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows. supplier can devote its capacity to component 1 , component 2 , or any combination of the two components, if the total number of units ordered is within Supplier capacities are as follows. (a) If the Edwards production plan for the next period includes 800 units of component 1 and 600 units of component 2 , what purchases do you recommend? That is, how many units of each component should be ordered from each supplier? Component 1, Supplier 1 units Component 1, Supplier 2 units Component 1, Supplier 3 units Component 2, Supplier 1 units Component 2, Supplier 2 units Component 2, Supplier 3 units (b) What is the total purchase cost (in \$) for the components? Romans sells the Regular blend for $3.60 per pound and the DeCaf blend for $4.40 per pound. Romans would like to place an order for the Bran coffee beans that will enable the production of 900 pounds of Romans Regular coffee and 400 pounds of Romans DeCh $0.80 per pound or the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.05 per pound. Packaging costs for both oroducts are $0.25 per pound. (a) Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural contribution to profit. (Let BR= pounds of Brazilian beans purchased to produce Regular, BD= pounds of Brazilian beans purchased to produce DeCaf, CR= pounds of Colombian beans purchased to produce Regular, and CD= pounds of Colombian beans purchased to produce DeCaf.) Max s.t. Regular \% constraint DeCaf % constraint Pounds of Regular Pounds of DeCaf (b) What is the optimal solution? (BR,BD,CR,CD)=( (c) What is the contribution to profit (in \$)? (Round your answer to two decimal places.) too many employees on hand is a waste of money, but having too few results in very poor customer service and the potential loss of customers. These estimates are given in the following table. meet the minimum requirements. (Let Xi= the number of call-center employees who start work on day i where i=1=Mondayi=2= Tuesday, etc). MinIx1+Ix2+Ix3+Ix4+Ix5+Ix6+Ix7 Check which variable(s) should be in your answer. s.t. Monday Ix1+Ix4+Ix5+Ix6+Ix775 Monday Ix1+Lx4+Ix5+Ix6+Ix775 Check which variable(s) should be in your answer. Tuesday Ix1+x2+x5+x6+x750 Check which variable(s) should be in your answer. Wednesday x1+x2+x3+x6+x745x Check which variable(s) should be in your answer. Thursday x1+x2+x3+x4+x760x Check which variable(s) should be in your answer. Friday Check which variable(s) should be in your answer. Saturday Check which variable(s) should be in your answer. Sunday Check which variable(s) should be in your answer. x1,x2,x3,x4,x5,,x6,x70 Find the optimal solution