Question

Deluxe coffee is to be mixed with regular coffee to make at least 50 pounds of a blended coffee. The mixture must contain at least 10 pounds of deluxe coffee. Deluxe coffee costs $6 per pound and regular coffee $3 per pound. How many pounds of each kind of coffee should be used to minimize costs? To attain the minimum cost, use pounds of deluxe coffee and pounds of regular coffee.

Answer 1

of pounds of Deluxe coffee of pounds of Requlav coffee let 'x be no. y' be no Minimite cost C = Ne need to constraints : fubject to Requlan Coffee to make Blended coffee, coffee is mixed oith Deluxe of pounds at least 50 + y> 50 Also, the mixture must contain atleas I~ lo pounds of Deluxe coffee > lo and y o points obtain the Coiner and Constraints 9rаph the Now, (lo, 40) and (50, o) The covne points ате, Cost C point (o,40) Corne C 8o imurM 300 ( 50, о) 180 Mini'mum Cost Pounds of Deluxc use minimum cosf, To attain the 40 pounds of Requlav Coffec сoffee and

60 (10, 40) 40 20 (50,0) -60 -40 60 -20 0 80 10 -20 40 20