Can someone help me make my own linear programming equation?

It will be about a kennel. The kennel can only hold 15 dogs. The Rate of boarding thedog is 35 dollars for large and 15 for small per day. Maximum and minimum profit will need to be found.

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by the information given it is only possible to work out one constrain and the profit equation...let large dogs be x and small dogs be y..as the kennel can only keep 15 dogs : x + y less than and equal to 15...to work out the co ordinates for x let y equal to zero there x will be (15;0) and to work out the y co ordinate let x equal zero there fore y will be (0;15)...plot these points and draw your line...not forgetting the two original constraints which are x greater that an equal to zero and y greater than and equal to zero...your profit equation will be p is equal to 35x + 15y...there after substitute all points in to profit equation and see which gives you maximum and mininum amounts.

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