answer all the questionsv of two questions
Doug Tuner Food Processors wishes to introduce a new brand of dag biscuits composed of chicken-and liver:favored biscuits that meet certain nutritional repuirements, The liver-flawored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, the chicken-flavored biscuits contain 1 unit of nutrient A and 4 units of nutrient B. Accoeding to federat requirements, there must be at least 40 units of nutrient A and 60 - units of nutrient B in a package of the new mix. In addition, the company has decided that there can be no more than 15 liver-fowored biscuits in a packoge. If it costs 1 e to make 1 liver-flavored biscuit and 24 to make 1 chicken-flavored, whut is the optirnal product mix for a package of the biscuits to minimize the firm's cost? Formulate this as a linear programming problen. b. What is the total cost of a package of dog biscuits using the optimal mix? cents C. Are there any unused resources? If so, in what constraint, and by how much? d. What if federal requirements for nutrient A was reduced by 5 units. what would the overall cost be? The Demer advertising agency promoting the new Sreem dish-washing detergent wants to get the best exposure possible for the produxt within the $100,000 advertivins on industry ratings, is 35,000 viewers for each TV comenereial and 20.000 resders for each newypsper advertisement. The apency director, Deborah Kelloggi knows from experience that it is important to use both meda in order to reach the brosdest spectrum petential Breem customers She decles that at least 5 but no more than 25 exposure while staying within the budget? a. What is the ris of the two nisedta? TV- Nempaper : 1. What is the maximum exposure? potentis customen c. What if Breem decided to reduce the budget by $30,000. What impact would it the on expocure? Doug Turner food Processors wishes to introduce a new brand of dog biscuits composed of chicken- and liver-fivered biscuits that meet certain nutritional roquirements. The thive-Asvored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, the chichen-flamored bisccits contain 1 unit of nutrient A and 4 units of nutrient B. According to federal requirements, there must be at least 40 units of nutrient A and 60 units of nutrient B in a package of the new mix, th addition, the company has decided that there can be no more than 15 lver-flawored biscuits in a package. If it costs 1 e to make 1 liver flavored biscuit and 2 c to make 1 chicken-flarored, what is the optimal product mix for a packoge of the biscuits to minimike the furris cost? Formulate this as a linoar progranming probiem. a. What is the prodact ingredient mix? liver flavor biscuits * chicken flivor biscuiss - b. What is the total cost of a package of dog biscuits using the optiral mox? ients c. Are there arr unused resources? If se, in what constraint, and by how much? d. What if federal requirements for nutrient A was reduced by 5 units, what woutd the overatt cest be? The Derver advertising agency promoting the new Breem dish-washing detergent wants to sot the best exposure possible for the product within the 5100,000 advertising budect celing placed on it. To do sa, the agency needs to decide how much of the budget to spend on each of its two most effective medla: ( 1 ) television spots during the afternoon hours and (2) large ads in the city's Sunday newspaper. Each television spot costs $3,000; each Sunday newspaper ad costs $1,250. The expected exposure, base on industry ratings, is 35,000 viewers for each TV commercial and 20,000 readers for each newspaper advertisement. The agency director, Deborah Kellogg, knows from experience that it is important to use both media in order to reach the broadest spectrum of potential Breem customers. She decides that at least 5 but no more than 25 television spots should be ordered, and that at least 10 newspaper ads should be contracted. How many times should each of the two media be used to obtain maximum exposure while staying within the budiget? a. What is the mix of the two meda? TV = Newspaper = b. What is the maximum exposure? potential customers c. What if Breem decided to reduce the budget by $10,000, What impact would it have on exposure? Breem dish-washing detergent wants to get the best exposure possible for the product within the $100,000 advertising eds to decide how much of the budget to spend on each of its two most effective media: (1) television spots during the ay newspaper. Each television spot costs $3,000; each Sunday newspaper ad costs $1,250. The expected exposure, based ommercial and 20,000 readers for each newspaper advertisement. The agency director. Deborah Kellogg. knows from order to reach the broadest spectrum of potential Breem customers. She decides that at least 5 but no more than 25 10 newspaper ads should be contracted. How many times should each of the two media be used to obtain maximum Newspaper = potential customers 10,000 . What impact would it have on exposure? [Select] there would be a reduction of not reaching 100,000 potential Breem customers there would be an increase of reaching 55,000 potential Breem customers there would be a reduction of not reaching 160,000 potential Breem customers there would he an increase of reaching an additionst 78,750 potentul Brecin customes sed of chicken- and liver-flavored biscuits that meet certain nutritional requirement n-flavored biscuits contain 1 unit of nutrient A and 4 units of nutrient B. According rient B in a package of the new mix. In addition, the company has decided that ther lavored biscuit and 2 to make 1 chicken-flavored, what is the optimal product mix Iming problem. chicken flavor biscuits = cents nstraint, and by how much? the overall cost be
