Formulate the following as a Linear Programming Model stating the decision variables,all the problem constraints, and the objective function. (DO NOT SOLVE)3.Suzie and her staff make two types of leather handbags, a deluxe handbag, and a traditionalhandbag. It takes 2 hours to cut the leather for a deluxe handbag and 1 hour to cut the leatherfor a traditional handbag. It takes 6 hours to sew the deluxe together, and 4 hours to sew thetraditional. It takes 2 hours to dye and dry the deluxe, and 2 hours to dye and dry the traditional.A profit of $30 is made on each deluxe sold, and a profit of $10 is made on each traditionalsold. If the staff has a maximum of 10 hours for cutting, and 36 hours for sewing, and aminimum of 4 hours for dying and drying, calculate the number of deluxe and traditional bagsthey should produce to maximize profit?4. Smartphone Limited conducted a marketing survey among 380 customers to gain insight abouta product. The survey revealed that 200 customers prioritized battery life above all otherfeatures, 160 customers prioritized phone size above all other features, and 40 weredisinterested in either feature.i) Show the information above on a Venn Diagram, using to represent the number of customersthat saw battery life and phone size equally important.ii) Find x, the number of persons who finds both features equally important.iii) What is the probability that a customer finds both features equally important?iv) What is the probability that a customer chooses a phone because of battery life?5. a) How many different car license plates can be made using-three letters followed by four digits [if:i)Letters and digits can be repeated.ii)No letter can be repeated but digits can be repeated.i)No letter can be repeated, the last digit must be a 4, and no digit can be repeated.b) A catering service offers 7 appetizers, 9 main courses, and 8 desserts. A banquet committeeselects 5 appetizers, 5 main courses, and 3 desserts. In how many ways can this be done? NAME:INSTRUCTIONS: Read the directions to all questions very carefully. You must show all your work to get full credit forthe problem. You don't have to do the problems in order. Start where you feel the most comfortable and writelegibly!!!1.a) How much money should be deposited into an account paying interest at a rate ofma7.5% compounded quarterly so that at the end of 12 years the accumulatedamount will be $28,960?b) Amy purchases new appliances costing $23,845 and agreed to finance the amountthrough the store for 18 months. The store will charge her 12% interest compoundedmonthly on the unpaid balance.How much is her monthly payments?i)ii)How much interest is paid over the period?ii)What is the unpaid balance after 12 months?2.-1a) Given: P =i)Calculate the determinant of P.ii)Use the determinant or otherwise to find P-1.ii)Show that P. P-1 = 1.iv)Use P-1 to solve the simultaneous equations given below.x-y =-53x + 2y = -5b) Solve the following system equations using the Gauss-Jordan Method.x+y = -1 ·2x - y+z = 63x + 2z = 7

Name: Formulate the following as a Linear Programming Model stating the dec
Uploaded: 2024-03-05T11:52:21.000Z
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Description: Formulate the following as a Linear Programming Model stating the decision variables,all the problem constraints, and the objective function. (DO NOT SOLVE)3.Suzie and her staff make two types of leather handbags, a deluxe handbag, and a traditional

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