You and your partner have decided to enter the candy business. You can produce t
ID: 2978292 • Letter: Y
Question
You and your partner have decided to enter the candy business. You can produce two types
of candies: Primal Pralines and Dual Doves, using different mixtures of sugar, nuts, and chocolate. You
currently have 40 kilograms sugar, 20 kilograms nuts, and 25 kilograms chocolate in inventory. The mixture
used to make Primal Pralines must contain at least 20% nuts. The mixture used to make Dual Doves must
contain at least 10% nuts and 15% chocolate. Each kilogram of Primal Pralines can be sold for $25, and
each kilogram of Dual Doves can be sold for $20. Since your candy is so delicious, you can always sell all
the candy you produce. In addition, 30 kilograms of Dual Doves must be produced to meet the production
requirement.
Write a linear program that determines a production plan that maximizes your revenue, using the following
decision variables:
x1= amount of sugar used to produce Primal Pralines, in kilograms,
x2= amount of nuts used to produce Primal Pralines, in kilograms,
x3= amount of chocolate used to produce Primal Pralines, in kilograms,
y1= amount of sugar used to produce Dual Doves, in kilograms,
y2= amount of nuts used to produce Dual Doves, in kilograms,
y3= amount of chocolate used to produce Dual Doves, in kilograms.
Explanation / Answer
SuperLettuce7735 answer rating percentage95% - 3h 51m left to answer You and your partner have decided to enter the candy business. You can produce two types of candies: Primal Pralines...................P.................. and Dual Doves......................................D................, using different mixtures of sugar, nuts, and chocolate. ............................ You currently have 40 kilograms sugar, 20 kilograms nuts, and 25 kilograms chocolate in inventory. ......................... The mixture used to make Primal Pralines must contain at least 20% nuts. ..................................... The mixture used to make Dual Doves must contain at least 10% nuts and 15% chocolate............................... Each kilogram of Primal Pralines can be sold for $25,............................ and each kilogram of Dual Doves can be sold for $20............................ Since your candy is so delicious, you can always sell all the candy you produce. .................................In addition, 30 kilograms of Dual Doves must be produced to meet the production requirement. Write a linear program that determines a production plan that maximizes your revenue, using the following decision variables: x1= amount of sugar used to produce Primal Pralines, in kilograms, x2= amount of nuts used to produce Primal Pralines, in kilograms, x3= amount of chocolate used to produce Primal Pralines, in kilograms, y1= amount of sugar used to produce Dual Doves, in kilograms, y2= amount of nuts used to produce Dual Doves, in kilograms, y3= amount of chocolate used to produce Dual Doves, in kilograms. LET P BE THE QTY OF PRIMAL PRALINES PRODUCED.........................1....................... LET D BE THE QTY OF DUAL DOVES PRODUCED.......2.................... SO WE GET ..... X1 = P*??? SUGAR NEEDED IS NOT GIVEN .. X2 > = P*20/100=0.2P...........................................................3............... X3 = P*??? CHOCOLATE NEEDED IS NOT GIVEN WE CAN ONLY TAKE .....X1+X3 = D*10/100= 0.1D....................................5................ Y3>= D*15/100=0.15D..........................................6.................... SALES REVENUE = 25P+20D.......................................7......... In addition, 30 kilograms of Dual Doves must be produced to meet the production requirement...SO TOTAL PRODN OF DUAL DOVES = D+30 ...SO ....Y1,Y2,Y3 GET CGHANGED TO Y1=[D+30]*????SUGAR NEEDED IS NOT GIVEN Y2>= [D+30]*10/100= 0.1[D+30]....................................8............... Y3>= [D+30]*15/100=0.15[D+30]..........................................9................... NO SALES ARE MENTIONED FOR ADDITIONAL 30 KG OF DOVES ..SO NOT TAKEN ... ====================== I AM WRITING BELOW A PLAN AS REQUIRED ..BUT DATA GIVEN IS TOTALLY INADEQUATE TO WRITE ANY GOOD MEANING FULL PROGRAMME....PLEASE CHECK YOUR SOURCE FOR TYPOS / MISSING DATA ] ========================= REVENUE HAS TO BE MAXIMIZED ..SO OBJECTIVE FUNCTION IS ... . SALES REVENUE R = 25P+20D.......................................7......... CONSTRAINTS ... currently have 40 kilograms sugar, 20 kilograms nuts, and 25 kilograms chocolate in inventory. .........................SO....... X1+Y1=P*???+[D+30]*???Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.