Each gallon of regular gasoline must contain at least 40% of ingredient a, whereas each gallon of high octane must contain at most 50% of ingredient b. daily demand for regular and high octane gasoline is 800,000 and 500,000 gallons respectively. how many gallons of each type of crude should be used in the two gasolines to satisfy daily demand at a minimum cost? structure as a linear programming problem.

Amaple syrup producer records th amount of sap collected from each of his trees. the line plot shows the results for one day. what is the least amount of sap any one tree produced?

How can you find the conditional probability of a given b as the fraction of b’s outcomes that also belong to a, and interpret the answer in terms of the model? i just need a good explanation

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.