# Question: Weenies and Buns is a food processing plant which manufactures

Weenies and Buns is a food processing plant which manufactures hot dogs and hot dog buns. They grind their own flour for the hot dog buns at a maximum rate of 200 pounds per week. Each hot dog bun requires 0.1 pound of flour. They currently have a contract with Pigland, Inc., which specifies that a delivery of 800 pounds of pork product is delivered every Monday. Each hot dog requires ΒΌ pound of pork product. All the other ingredients in the hot dogs and hot dog buns are in plentiful supply. Finally, the labor force at Weenies and Buns consists of 5 employees working full time (40 hours per week each). Each hot dog requires 3 minutes of labor, and each hot dog bun requires 2 minutes of labor. Each hot dog yields a profit of $0.88, and each bun yields a profit of $0.33.

Weenies and Buns would like to know how many hot dogs and how many hot dog buns they should produce each week so as to achieve the highest possible profit.

(a) Formulate a linear programming model for this problem.

D, I (b) Use the graphical method to solve this model.

Weenies and Buns would like to know how many hot dogs and how many hot dog buns they should produce each week so as to achieve the highest possible profit.

(a) Formulate a linear programming model for this problem.

D, I (b) Use the graphical method to solve this model.

**View Solution:**## Answer to relevant Questions

The Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act created considerable excess production capacity. Management is considering devoting this excess capacity to one ...The shaded area in the following graph represents the feasible region of a linear programming problem whose objective function is to be maximized. Label each of the following statements as True or False, and then justify ...Consider a problem with two decision variables, x1 and x2, which represent the levels of activities 1 and 2, respectively. For each variable, the permissible values are 0, 1, and 2, where the feasible combinations of these ...Consider the following objective function for a linear programming model: (a) Draw a graph that shows the corresponding objective function lines for Z = 6, Z = 12, and Z = 18. (b) Find the slope-intercept form of the ...Joyce and Marvin run a day care for preschoolers. They are trying to decide what to feed the children for lunches. They would like to keep their costs down, but also need to meet the nutritional requirements of the children. ...Post your question