Barney's Boston Bagel ‘n Bun Bakery is looking into a new type of bag tie that will better seal, and more importantly, better reseal the company's bagels after they have been taken home. The process that it is using at this time without the new bag tie is referred to as Current. According to a competitive analysis of Barney's bagels compared to those of the competition, the new bag ties would dramatically increase the shelf life of the bagels. Barney currently sells all the bagels the company can make, 5,000 bags of bagels a week. The new tie would cost $0.02 more than the old one, but the longer shelf life would create incremental value to the customer
a) Assume that the new tie would require a machine that would add $200 per week to the company's fixed costs. How much more should Barney's charge per bag in order to make the same profit as before?
b) Instead of the modification in a), Barney's is considering adding a faster machine along with a second baker. This would add $1,500 per week to the company's fixed costs but would triple the company's output. How much should the company add to the price of a bag of bagels if it wants to increase profit by at least $3,000 per week compared to the Current operation.
c) Barney has decided to add $0.40 for the price of a bag and wants to make $3,000 per week compared to the Current operation. He will be adding the faster machine, the new tie and the second baker. How many bags of bagels will he need to produce to make $3,000 per week compared to the Current operation (which does not include the new bag time)?