Yolanda's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs yolanda $4.25 per pound, and type b coffee costs $5.60 per pound. this month, yolanda made 155 pounds of the blend, for a total cost of $784.30. how many pounds of type a coffee did she use?

she used type A coffee is 62 pounds

Explanation:

given data

Type A coffee costs = $4.25 per pound

type B coffee costs = $5.60 per pound

this month Yolanda made = 155 pounds

this month total cost = $784.30

to find out

How many pounds of type A coffee did she use

solution

we consider here that this month type A coffee used = x

and type B coffee used = y

so equation will be

x + y = 155       1

and cost equation

4.25 x + 5.60 y = 784.30       2

now from equation 1 we get y

y = 155 - x     3

put this value in equation 2

4.25 x + 5.60 y = 784.3

4.25 x + 5.60 ( 155 - x) = 784.3

solve this equation we get

x = 62

so she used type A coffee is 62 pounds

a manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. at the end of december, the company wishes to forecast sales for january. the estimate of trend through november has been 200 additional boards sold per month. average sales have been around 1000 units per month. the demand for december was 1100 units. the company uses α = 0.20 and β = 0.10. make a forecast including trend for the month of january.

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