Holiday Mean Turkey Ranch is considering buying two different types of turkey feed. Each feed contains, in varying proportions, some or all of the three nutritional ingredients essential for fattening turkeys. Brand Y feed costs the ranch $$ $0.2$$ per pound. Brand Z costs $$ $.03$$ per pound. The rancher would like to determine the lowest-cost diet that meets the minimum monthly intake requirement for each nutritional ingredient.
The following table contains relevant information about the composition of brand Y and brand Z feeds, as well as the minimum monthly requirement for each nutritional ingredient per turkey.
Composition of Each Pound of Feed
|Ingredient||Brand Y Feed||Brand Z Feed||Minimum Monthly Requirement|
|A||$$5$$ oz||$$10$$ oz||$$90$$ oz|
|B||$$4$$ oz||$$3$$ oz||$$48$$ oz|
|C||$$.5$$ oz||$$0$$||$$1.5$$ oz|
|Cost/lb||$$ $0.2$$||$$ $.03$$|