A sausage company makes two different kinds of hot dogs, regular and all beef. Each type of hot dog uses some ingredients that are always available, but supplies of beef, pork, and spices are limited. Each pound of all-beef hot dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 1020 lb of beef, at most 630 lb of pork, and at least 300 lb of spices. (Let x represent the number of pounds of regular hot dogs produced and y represent the number of pounds of all-beef hot dogs produced.) (a) Write the inequalities that describe how many pounds of each type of hot dog can be produced. beef constraint pork constraint spices constraint x ≥ 0 number of pounds of regular hot dogs constraint y ≥ 0 number of pounds of all-beef hot dogs constraint (b) Graph the region determined by these constraint inequalities.
A sausage company makes two different kinds of hot dogs, regular and all beef. Each type of hot dog uses some ingredients that are always available, but supplies of beef, pork, and spices are limited. Each pound of all-beef hot dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 1020 lb of beef, at most 630 lb of pork, and at least 300 lb of spices. (Let x represent the number of pounds of regular hot dogs produced and y represent the number of pounds of all-beef hot dogs produced.) (a) Write the inequalities that describe how many pounds of each type of hot dog can be produced. beef constraint pork constraint spices constraint x ≥ 0 number of pounds of regular hot dogs constraint y ≥ 0 number of pounds of all-beef hot dogs constraint (b) Graph the region determined by these constraint inequalities.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A sausage company makes two different kinds of hot dogs, regular and all beef. Each type of hot dog uses some ingredients that are always available, but supplies of beef, pork, and spices are limited. Each pound of all-beef hot dogs requires 0.75 lb of beef and 0.2 lb of spices, and each pound of regular hot dogs requires 0.18 lb of beef, 0.3 lb of pork, and 0.2 lb of spices. Suppliers can deliver at most 1020 lb of beef, at most 630 lb of pork, and at least 300 lb of spices. (Let x represent the number of pounds of regular hot dogs produced and y represent the number of pounds of all-beef hot dogs produced.)
(a) Write the inequalities that describe how many pounds of each type of hot dog can be produced.
(b) Graph the region determined by these constraint inequalities.
|
|
beef constraint | |
|
|
pork constraint | |
|
|
spices constraint | |
| x ≥ 0 | number of pounds of regular hot dogs constraint | |
| y ≥ 0 | number of pounds of all-beef hot dogs constraint |
(b) Graph the region determined by these constraint inequalities.
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