Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 28 cups of coffee, using 424 ounces of coffee, while collecting a total of $34.40. How many cups of each size did Kyle fill? Kyle filled 10-oz cup(s). 14-oz cup(s), and 20-oz cup(s).
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
Let
x, y and z are the number of 10 oz, 14 oz and 20 oz cups sold respectively.
Kyle served 28 cups of coffee.
So, total number of coffee sold
x + y + z = 28 ------------------------ (1)
Total coffee consumed 424 ounces
10x + 14y + 20z = 424 ------------------- (2)
Total cost is $ 34.40
0.95 x + 1.15 y + 1.50z = 34.40 ---------------- (3)
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