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QUESTION #330 MARKSFried fish and festival are a dish enjoyed by most Jamaicans. Jeprod manufactures two types of festival mix, called brand A and brand

QUESTION #330 MARKSFried fish and festival are a dish enjoyed by most Jamaicans. Jeprod manufactures two types of festival mix, called brand A and brand B. Both brands require blending a certain amount of flour and cornmeal; the company has available a total of 25,000 lb of flour and 6,000 lb of corn meal. Brand A requires a mixture of 125 lb of flour and 20 lb of cornmeal and yields a profit of $90 per batch. A batch of Brand B requires 100 lb of flour and 30 lb of cornmeal and can be sold for a profit of $70. Jeprod can make no more than 150 batches of brand A.a) Use Xi and X2 to define the variables indicating which variable is Xi and X2 2 Marksb) Derive the Objective Function in terms of Xi and Xa3 Marksc) Formulate the Constraints under which the company must operate7 Marksd) Graphically illustrate the Feasible Region4 Markse) State the coordinates of the corner points e.g A(2,7), B(12,5)8 Marksf) Determine the optimal solution4 Marksg) Determine the profit at the optimal solution2 MarksQUESTION #420 MARKSBest Brands is a sports apparel store that has just hired a Utech graduate Akeem Butts as store manager. The demand for the Nike Air brand shoes is 170 boxes per month. Each box cost S 9,000. The annual holding cost rate is 15%. Best Brands has an ordering cost is $3,300 and the store and warehouse is opened 285 days per year. The lead time for each order is a long 25 days,a) How many boxes of shoes do you recommend that Akeem orders every time he places an order.4 Marksb) Determine the estimated holding cost; and ordering cost4 Marksc) Would it be true to say Akeem has to put in an order almost every 2 weeks (hint time between orders). Justify your answer 4 Marksd) How many orders will Akeem have placed each year3 Markse) Determine the re-order point3 Marks1) What can Akeem expect his Total Annual cost to be2 MarksSEE NORMAL DISTRIBUTION TABLE BELOW

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0.00 0.01 0.02 0.03 0.04 0.05 0.0G 0.07 0.08 0.09 .5000 5040 5080 .5239 .5279 5319 5359 0.1 -5120 5160 5199 .5398 .5438 .5478 5517 .5596 .5636 .5675 .5714 .5753 0.2 .5557 .5793 .5832 5871 5910 .5948 .5987 6026 .6064 6103 6141 0.3 .6179 6217 6255 .6293 6331 6368 6406 .61-13 .6480 6517 0.4 .6554 6591 6628 6700 6736 6772 6808 .6844 6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 0.8 .7704 .7734 .7761 .7794 .7823 .7852 .7881 .7910 .7939 .7967 .7995 ,8023 .8051 .8078 8106 .8133 0.9 .8159 .8186 .8212 .8238 8264 .8289 .8315 8340 .8365 .8389 1.0 8413 8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 .8665 8686 8708 .8729 8749 .8770 .8790 .8810 .8830 1.2 .8849 8869 .SSSS 8907 8925 .8944 .8962 .8980 .8997 .9015 1.3 .9032 .9049 9066 9082 9099 .9131 .9147 .9162 9177 1.4 .9192 .9207 9222 9236 9251 .9265 9279 .9292 9306 9319 1.5 .9332 9345 9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 .9463 9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9564 9573 .9582 9591 9599 9608 .9616 .9625 .9633 1.8 .9641 .9649 9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706 1.9 9713 .9719 9726 .9732 9738 .9744 .9750 9756 .9761 .9767 2.0 .9772 .9778 9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 9830 .9834 9838 9842 9846 .9850 .9854 .9857 2.2 .9861 .9864 9868 9871 S486 9878 .9881 9884 .9887 .9890 2.3 9893 9896 .9898 .9901 .9904 .9906 .9909 .991 1 .9913 .9916 2.4 .9918 .9920 9922 .9925 9927 .9929 9931 .9932 .9034 .9936 2.5 9938 .9940 9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 9953 9955 .9956 9957 .9959 .9960 .9961 .9962 9963 9964 2.7 .9965 9966 9967 9968 .9969 .9970 .9971 .9972 .9973 .9974 2.8 .9974 .9975 9976 9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 9981 .9982 .9982 19983 .9984 .9984 .9985 .9985 .9986 .9986 3.0 19987 9987 .9987 9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 9991 .9991 9991 9992 .9992 .9992 .9992 .9993 .0993 3.2 .9993 .9993 9994 9994 .9994 9994 .9994 .9995 .9995 .9995 3. 9995 .9995 .9995 9996 9996 9996 9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 9997 9997 .9997 .9997 .9997 .9998 3.5 .9998 .9998 .9998 .9998 9998 .9998 .9998 9998 .9998 .9998 3.6 -9998 .9998 .9999 .9999 .9999 .9999 .9999 9090 .9499 .9999

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