Thomas the train strikes back ahahahha

Consider an economy where government expenditures are 10 and total tax revenues are 10. the supply of labor is fixed at 125 and the supply of capital is fixed at 8. the economy is described by the following equations. y k to the power of 1 divided by 3 end exponent l to the power of 2 divided by 3 end exponent c 2.5 + 0.75 ( y - t ) i 10 - 0.5 r the level of private savings is

The school cafeteria can make pizza for approximately $0.30 a slice. the cost of kitchen use and cafeteria staff runs about $200 per day. the pizza den nearby will deliver whole pizzas for $9.00 each. the cafeteria staff cuts the pizza into eight slices and serves them in the usual cafeteria line. with no cooking duties, the staff can be reduced by half, for a fixed cost of $75 per day. should the school cafeteria make or buy its pizzas?

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?