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Amount given to start the business = $1000
Recipe is for baking = 12 cupcakes
Ingredients needed are :
Flour = 1.5 cups; total value = 0.60*1.5 = $0.90
Baking powder = 2 tsp; total value = 0.20*2 = $0.40
Cocoa powder = 3/4 cups; total value = 1.60*3/4 = $1.20
Vegetable oil = 1/4 cup; total value = 0.80*1/4 = $0.20
Sugar = 1 cup; total value = 0.30*1 = $0.30
Egg = 1; total value = 0.30*1 = $0.30
Milk = 1/2 cups; total value = 0.40*1/2 = $0.20
Butter = 1 cup; total value = 0.80*1 = $0.80
Powdered sugar = 4 cups; total value = 0.60*4 = $2.40
Vanilla = 1 tsp; total value = 1*1 = $1.00
Hence, total cost for preparing 12 cupcakes =
0.90+0.40+1.20+0.20+0.30+0.30+0.20+0.80+2.40+1.00 = $7.70
Let y be the cost, and x be the dozens of cupcakes.
So, cost function becomes :
7.70(x)=y
As the cost can at most be $1000, inequality becomes
so
Solving this we get
As cupcakes can be in whole number, so it becomes almost 129 dozen cupcakes.