Answer Happy

Question 1 Maria has an online shop where she sells handmade paintings and cards. She sells the painting for ¢ 100 and the card for $90. It takes her I and half hours to complete a painting and 3 hours to make a single card. She also has a day job and makes paintings and cards in her free time. She cannot spend more than 135 hours a month to make paintings and cards. Packing of the products and delivering it to the final customer cost Maria 2 hours of packaging time for paintings and an hour for cards. In addition, she cannot spend more than 100 hours a month on packaging these products. Additionally, the total output of paintings and cards that Maria makes a month should not be more than 60. In all, it costs Maria ¢60 and $40 to produce and deliver the paintings and cards, respectively to the final customer. (a) Formulate a linear programming model for the above managerial problem. 3 marks (b) How many paintings and cards should Maria produce to maximize profit. 7 marks (c) Find the maximum profit. 3 mark (d) Determine the scarce resources 1 mark (e) Find the shadow price of each of the scarce resource. 6 marks