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 600 lb of pork and at least 200 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 y spices constraint x20 ly 20 number of pounds of regular hot dogs constraint number of pounds of all beef hot dogs constraint b Graph the region determined by these constraint inequalities 1500 1000 beef constraint 500 pork constraint X 1000 2000 3000 4000 5000 6000 y 1500 1000 500 X 1000 2000 3000 4000 5000 6000 1500 1000 y 500 X 1000 2000 3000 4000 5000 6000