mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=616558138&questionld=8&flushed=true&cld=6803844¢erwin=yes MATH 208 WINTER 2022 Section H Naomi Nor 03/10/22 3:19 PM Homework: Assignment#7 Question 8, 4.3.87-LS HW Score: 80%, 80 of 100 points Part 1 of 2 O Points: 0 of 10 Sav farmer can buy four types of plant food. Each barrel of mix A contains 40 pounds of phosphoric acid, 60 pounds of nitrogen, and 30 pounds of potash; each barrel of mix B contains 25 pounds of phosphoric a 5 pounds of nitrogen, and 20 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 20 pounds of potash; each barrel of mix D contains 135 pounds of hosphoric acid, 75 pounds of nitrogen, and 90 pounds of potash. Soil tests indicate that a particular field needs 1,895 pounds of phosphoric acid, 1,450 pounds of nitrogen, and 1,280 pounds of potash. There multiple solutions to the number of barrels of each type of food that could be mixed together to supply the necessary nutrients for the field. The solutions can be expressed as (12 - t) barrels of mix A, (t- 7) barr ix B, (53 - 4t) barrels of mix C, and t barrels of mix D, where t is an integer satisfying 7 sts 12. he costs of the four mixes are Mix A, $44, Mix B, $74, Mix C, $52, Mix D, $62. Which of the solutions to the problem of supplying the correct nutrients would minimize the cost of the plant food? et the variables x, represent the number of barrels of mixture A, X2 represent the number of barrels of mixture B, X3 represent the number of barrels of mixture C and x4 represent the number of barrels of mixt Write the equation that can be used to find the cost C in terms of the variables x, through X4. Do not include the $ symbol in your answer.) View an example Textbook Calculator Clear all Show work Check answ OLIOCAL O O 20