Guerrero Company makes three products in a single facility. These products have the following unit product costs:

Products

A B C

Direct materials $$10\mathrm{.}90$ $$15\mathrm{.}80$ $$8\mathrm{.}00$

Direct labour $12\mathrm{.}5012\mathrm{.}609\mathrm{.}90$

Variable manufacturing overhead $2\mathrm{.}401\mathrm{.}201\mathrm{.}40$

Fixed manufacturing overhead $11\mathrm{.}607\mathrm{.}207\mathrm{.}80$

Unit product cost $$37\mathrm{.}40$ $$36\mathrm{.}80$ $$27\mathrm{.}10$

Additional data concerning these products are listed below.

Products

A B C

Mixing minutes per unit $2\mathrm{.}001\mathrm{.}000\mathrm{.}50$

Selling price per unit $$55\mathrm{.}80$ $$54\mathrm{.}60$ $$43\mathrm{.}10$

Variable selling cost per unit $$2\mathrm{.}10$ $$1\mathrm{.}40$ $$1\mathrm{.}90$

Monthly demand in units $2,0001,0003,000$

The mixing machines are potentially a constraint in the production facility. A total of $5,900$ minutes are available per month on these machines.

Direct labour is a variable cost in this company.

Required:

$1.$ How many minutes of mixing machine time would be required to satisfy demand for all four products?

$2.$ How much of each product should be produced, rounded to the nearest whole unit, to maximize operating income

$3.$ Up to how much should the company be willing to pay, rounded to the nearest whole cent, for one additional minute of mixing machine time if the company has made the best use of the existing mixing machine capacity?