A firm manufactures two types of couplings, A and B, each of which requires processing time on lathes, grinders and polishers. The machine times needed for each type of coupling are given in the table Coupling type Time required (hours) Lathe Grinder Polisher The total machine time available is 250hours on lathes, 310 hours on grinders and 160hours on polishers. The net profit per coupling of type A is $9 and of type B is S10. Formulate a linear model from the above information. Using the model, determine a) The number of each type to be produced to maximize profit
b) The maximum profit

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

You have 17 cats that live in houses on your street, 24 dogs, 3 fish, and 4 hamsters. what percent of animals on your block are dogs?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.