1. SHIPPING A warehouse supervisor is told to ship at least 50 packages of gravel
that weigh 55 pounds each and at least 40 bags of stone that weigh 70 pounds each.
The maximum weight capacity of the truck to be used is 7500 pounds. Find and
graph a system of inequalities describing the numbers of bags of stone and
gravel that can be shipped.
2. NUTRITION A dietitian is asked to design a special dietary supplement using
two different foods. Each ounce of food X contains 20 units of calcium, 15
units of iron, and 10 units of vitamin B. Each ounce of food Y contains 10 units
of calcium, 10
1. SHIPPING A warehouse supervisor is told to ship at least 50 packages of gravel
that weigh 55 pounds each and at least 40 bags of stone that weigh 70 pounds each.
The maximum weight capacity of the truck to be used is 7500 pounds. Find and
graph a system of inequalities describing the numbers of bags of stone and
gravel that can be shipped.
2. NUTRITION A dietitian is asked to design a special dietary supplement using
two different foods. Each ounce of food X contains 20 units of calcium, 15
units of iron, and 10 units of vitamin B. Each ounce of food Y contains 10 units
of calcium, 10 units of iron, and 20 units of vitamin B. The minimum daily
requirements of the diet are 300 units of calcium, 150 units of iron, and 200
units of vitamin B.
(a) Write a system of inequalities
describing the different amounts of food X and food Y that can be used.
(b) Sketch a graph of the region
corresponding to the system in part (a).
(c) Find two solutions of the
system and interpret their meanings in the context of the problem.
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