A volunteer has been asked to drop off some supplies at a facility housing victims of a hurricane evacuation. The volunteer would like to bring at least 90 bottles of water, 56 first aid kits, and 40 security blankets on his visit. The relief organization has a standing agreement with two companies that provide victim packages. Company A can provide packages of 10 water bottles, 6 first aid kits, and 4 security blankets at a cost of $3. Company B can provide packages of 9 water bottles, 4 first aid kits, and 3 security blankets at a cost of $1.50. How many of each package should the volunteer pick up to minimize the cost? What amount does the relief organization pay?
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- A major league baseball team is ending its season and totaling up concession sales. Looking at receipts they have found that they made $10,486,525 in hot dog sales, $23,451,492 in large drink sales, $4,765,300 in soft pretzel sales and $1,342,653 in nacho sales. If they rounded each item's sales amount to the nearest million, what is the estimated money collected in concession sales?arrow_forwardLast year's freshman class at big state university totaled 5,304 students. Of those, 1,257 received a merit scholorship to help offset tuituon costs their freshman year (although the amount varied per student). The amount a student recieved was N($3,443, $450). If the cost of full tuition was $4,500 last year, what percentage of students who recieved a merit scholarship did not recieve enough to cover full tuition? (Round your answer to the nearest whole percent.)arrow_forwardHello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 238.5 hours, only 3325 hours are available for painting, and 684 lbs. of supplies are available. Each Lexi doll requires 0.6 hours of sewing, 10 hours of painting, and 1.8 lbs. of supplies. Each Maysy doll requires 0.8 hours of sewing, 8 hours of painting, and uses 2.4 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 9 hours of painting, and 1.2 pounds of supplies. If the company earns a profit of $135 per Lexi doll, $155 per Maysy doll, and $160 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use a for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P= 135x + 155y + 160z✓ subject to 0.6x +0.8y +0.5z 238.5 <3325 684 10x+8y +9z 1.8z +2.4y+1.2z✓ Enter the solution to the simplex…arrow_forward
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